65257920 has 448 divisors, whose sum is σ = 286755840. Its totient is φ = 13602816.

The previous prime is 65257919. The next prime is 65257939. The reversal of 65257920 is 2975256.

65257920 is a `hidden beast` number, since 65 + 2 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×65257920² = 8517192245452800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786199 + ... + 786281.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 2^65257920 is an apocalyptic number.

65257920 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 65257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

65257920 is an abundant number, since it is smaller than the sum of its proper divisors (221497920).

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

65257920 is a wasteful number, since it uses less digits than its factorization.

65257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 65257920 is about 8078.2374315193. The cubic root of 65257920 is about 402.6036819944.

The spelling of 65257920 in words is "sixty-five million, two hundred fifty-seven thousand, nine hundred twenty".