64013824 has 80 divisors (see below), whose sum is σ = 149374368. Its totient is φ = 26836992.

The previous prime is 64013819. The next prime is 64013837. The reversal of 64013824 is 42831046.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 64013792 and 64013801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189784 + ... + 190120.

Almost surely, 2^64013824 is an apocalyptic number.

64013824 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 64013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74687184).

64013824 is an abundant number, since it is smaller than the sum of its proper divisors (85360544).

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

64013824 is an equidigital number, since it uses as much as digits as its factorization.

64013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 64013824 is about 8000.8639533490. The cubic root of 64013824 is about 400.0287979266.

The spelling of 64013824 in words is "sixty-four million, thirteen thousand, eight hundred twenty-four".