64936800 has 216 divisors, whose sum is σ = 237641040. Its totient is φ = 16665600.

The previous prime is 64936799. The next prime is 64936801. The reversal of 64936800 is 863946.

64936800 is a `hidden beast` number, since 649 + 3 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64936799) and next prime (64936801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64936801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208645 + ... + 208955.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 2^64936800 is an apocalyptic number.

64936800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118820520).

64936800 is an abundant number, since it is smaller than the sum of its proper divisors (172704240).

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

64936800 is a wasteful number, since it uses less digits than its factorization.

64936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64936800 is about 8058.3372974827. The cubic root of 64936800 is about 401.9422208486.

The spelling of 64936800 in words is "sixty-four million, nine hundred thirty-six thousand, eight hundred".