512089920 has 168 divisors, whose sum is σ = 1770598440. Its totient is φ = 135843840.

The previous prime is 512089819. The next prime is 512089931. The reversal of 512089920 is 29980215.

It can be written as a sum of positive squares in 4 ways, for example, as 23503104 + 488586816 = 4848^2 + 22104^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774390 + ... + 775050.

Almost surely, 2^512089920 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 512089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885299220).

512089920 is an abundant number, since it is smaller than the sum of its proper divisors (1258508520).

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

512089920 is a wasteful number, since it uses less digits than its factorization.

512089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 512089920 is about 22629.4038807919. The cubic root of 512089920 is about 800.0468305919.

The spelling of 512089920 in words is "five hundred twelve million, eighty-nine thousand, nine hundred twenty".