64957536 has 108 divisors (see below), whose sum is σ = 214928532. Its totient is φ = 18555264.

The previous prime is 64957507. The next prime is 64957549. The reversal of 64957536 is 63575946.

64957536 is a `hidden beast` number, since 6 + 49 + 575 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64957491 and 64957500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11811 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (1990079).

Almost surely, 2^64957536 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 64957536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107464266).

64957536 is an abundant number, since it is smaller than the sum of its proper divisors (149970996).

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

64957536 is a wasteful number, since it uses less digits than its factorization.

64957536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4615 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 64957536 is about 8059.6238125610. The cubic root of 64957536 is about 401.9849998116.

It can be divided in two parts, 649 and 57536, that added together give a palindrome (58185).

The spelling of 64957536 in words is "sixty-four million, nine hundred fifty-seven thousand, five hundred thirty-six".