512723664 has 120 divisors (see below), whose sum is σ = 1533527840. Its totient is φ = 159439104.

The previous prime is 512723657. The next prime is 512723677. The reversal of 512723664 is 466327215.

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, 181914 + ... + 184710.

Almost surely, 2^512723664 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 512723664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766763920).

512723664 is an abundant number, since it is smaller than the sum of its proper divisors (1020804176).

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

512723664 is a wasteful number, since it uses less digits than its factorization.

512723664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2888 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 512723664 is about 22643.4022178647. The cubic root of 512723664 is about 800.3767308978.

The spelling of 512723664 in words is "five hundred twelve million, seven hundred twenty-three thousand, six hundred sixty-four".