64000824 has 32 divisors (see below), whose sum is σ = 164328720. Its totient is φ = 20756736.

The previous prime is 64000819. The next prime is 64000837. The reversal of 64000824 is 42800046.

It is a super-2 number, since 2×64000824² = 8192210945357952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 64000794 and 64000803.

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, 35149 + ... + 36924.

Almost surely, 2^64000824 is an apocalyptic number.

It is an amenable number.

64000824 is an abundant number, since it is smaller than the sum of its proper divisors (100327896).

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

64000824 is a wasteful number, since it uses less digits than its factorization.

64000824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72119 (or 72115 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64000824 is about 8000.0514998342. The cubic root of 64000824 is about 400.0017166593.

The spelling of 64000824 in words is "sixty-four million, eight hundred twenty-four", and thus it is an aban number.