65957864 has 64 divisors (see below), whose sum is σ = 146499840. Its totient is φ = 27256320.

The previous prime is 65957851. The next prime is 65957867. The reversal of 65957864 is 46875956.

Its product of digits (1814400) is a multiple of the sum of its prime factors (450).

It is not an unprimeable number, because it can be changed into a prime (65957867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210572 + ... + 210884.

It is an arithmetic number, because the mean of its divisors is an integer number (2289060).

Almost surely, 2^65957864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65957864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73249920).

65957864 is an abundant number, since it is smaller than the sum of its proper divisors (80541976).

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

65957864 is a wasteful number, since it uses less digits than its factorization.

65957864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

The square root of 65957864 is about 8121.4446990668. Note that the first 3 decimals coincide. The cubic root of 65957864 is about 404.0379829008.

The spelling of 65957864 in words is "sixty-five million, nine hundred fifty-seven thousand, eight hundred sixty-four".