64641600 has 189 divisors, whose sum is σ = 233231817. Its totient is φ = 16980480.

The previous prime is 64641593. The next prime is 64641607. The reversal of 64641600 is 614646.

The square root of 64641600 is 8040.

It is a perfect power (a square), and thus also a powerful number.

64641600 is a `hidden beast` number, since 646 + 4 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64641593) and next prime (64641607).

It can be written as a sum of positive squares in only one way, i.e., 23270976 + 41370624 = 4824^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (64641607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 964767 + ... + 964833.

Almost surely, 2^64641600 is an apocalyptic number.

64641600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64641600 is the 8040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64641600

64641600 is an abundant number, since it is smaller than the sum of its proper divisors (168590217).

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

64641600 is a wasteful number, since it uses less digits than its factorization.

64641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 64641600 is about 401.3322246842.

The spelling of 64641600 in words is "sixty-four million, six hundred forty-one thousand, six hundred".