65953440 has 240 divisors, whose sum is σ = 266378112. Its totient is φ = 15054336.

The previous prime is 65953429. The next prime is 65953441. The reversal of 65953440 is 4435956.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 65953395 and 65953404.

It is not an unprimeable number, because it can be changed into a prime (65953441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90357 + ... + 91083.

Almost surely, 2^65953440 is an apocalyptic number.

65953440 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 65953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

65953440 is an abundant number, since it is smaller than the sum of its proper divisors (200424672).

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

65953440 is a wasteful number, since it uses less digits than its factorization.

65953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 65953440 is about 8121.1723291653. The cubic root of 65953440 is about 404.0289493355.

The spelling of 65953440 in words is "sixty-five million, nine hundred fifty-three thousand, four hundred forty".