64338624 has 196 divisors, whose sum is σ = 219876624. Its totient is φ = 18289152.

The previous prime is 64338619. The next prime is 64338643. The reversal of 64338624 is 42683346.

It is a happy number.

64338624 is a `hidden beast` number, since 643 + 3 + 8 + 6 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

64338624 is a modest number, since divided by 338624 gives 64 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326494 + ... + 326690.

Almost surely, 2^64338624 is an apocalyptic number.

64338624 is a gapful number since it is divisible by the number (64) 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 64338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109938312).

64338624 is an abundant number, since it is smaller than the sum of its proper divisors (155538000).

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

64338624 is an equidigital number, since it uses as much as digits as its factorization.

64338624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64338624 is about 8021.1360791349. The cubic root of 64338624 is about 400.7042261031.

The spelling of 64338624 in words is "sixty-four million, three hundred thirty-eight thousand, six hundred twenty-four".