65456820 has 144 divisors (see below), whose sum is σ = 233356032. Its totient is φ = 14641920.

The previous prime is 65456801. The next prime is 65456821. The reversal of 65456820 is 2865456.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65456821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24469 + ... + 27011.

It is an arithmetic number, because the mean of its divisors is an integer number (1620528).

Almost surely, 2^65456820 is an apocalyptic number.

65456820 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 65456820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116678016).

65456820 is an abundant number, since it is smaller than the sum of its proper divisors (167899212).

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

65456820 is a wasteful number, since it uses less digits than its factorization.

65456820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 65456820 is about 8090.5389190090. The cubic root of 65456820 is about 403.0122998461.

The spelling of 65456820 in words is "sixty-five million, four hundred fifty-six thousand, eight hundred twenty".