64682400 has 72 divisors (see below), whose sum is σ = 210549024. Its totient is φ = 17248000.

The previous prime is 64682393. The next prime is 64682407. The reversal of 64682400 is 428646.

It is an interprime number because it is at equal distance from previous prime (64682393) and next prime (64682407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (64682407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11076 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (2924292).

Almost surely, 2^64682400 is an apocalyptic number.

64682400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64682400 is an abundant number, since it is smaller than the sum of its proper divisors (145866624).

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

64682400 is a wasteful number, since it uses less digits than its factorization.

64682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26974 (or 26961 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 64682400 is about 8042.5369131885. The cubic root of 64682400 is about 401.4166435463.

The spelling of 64682400 in words is "sixty-four million, six hundred eighty-two thousand, four hundred".