512624640 has 384 divisors, whose sum is σ = 1882258560. Its totient is φ = 117964800.

The previous prime is 512624611. The next prime is 512624641. The reversal of 512624640 is 46426215.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 512624598 and 512624607.

It is not an unprimeable number, because it can be changed into a prime (512624641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12503020 + ... + 12503060.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^512624640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

512624640 is an abundant number, since it is smaller than the sum of its proper divisors (1369633920).

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

512624640 is a wasteful number, since it uses less digits than its factorization.

512624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 512624640 is about 22641.2155150734. The cubic root of 512624640 is about 800.3252011207.

The spelling of 512624640 in words is "five hundred twelve million, six hundred twenty-four thousand, six hundred forty".