65653920 has 144 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 17321472.

The previous prime is 65653919. The next prime is 65653921. The reversal of 65653920 is 2935656.

65653920 is a `hidden beast` number, since 6 + 565 + 3 + 92 + 0 = 666.

65653920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65653919) and next prime (65653921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×65653920² = 8620874422732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65653921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182701 + ... + 183059.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^65653920 is an apocalyptic number.

65653920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

65653920 is an abundant number, since it is smaller than the sum of its proper divisors (160783200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65653920 is a wasteful number, since it uses less digits than its factorization.

65653920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 65653920 is about 8102.7106575516. The cubic root of 65653920 is about 403.4164040508.

The spelling of 65653920 in words is "sixty-five million, six hundred fifty-three thousand, nine hundred twenty".