64961568 has 192 divisors, whose sum is σ = 226437120. Its totient is φ = 17715456.

The previous prime is 64961549. The next prime is 64961593. The reversal of 64961568 is 86516946.

64961568 is a `hidden beast` number, since 6 + 496 + 156 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138871 + ... + 139337.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^64961568 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 64961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

64961568 is an abundant number, since it is smaller than the sum of its proper divisors (161475552).

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

64961568 is a wasteful number, since it uses less digits than its factorization.

64961568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 64961568 is about 8059.8739444237. The cubic root of 64961568 is about 401.9933168860.

The spelling of 64961568 in words is "sixty-four million, nine hundred sixty-one thousand, five hundred sixty-eight".