512068800 has 84 divisors (see below), whose sum is σ = 1680028136. Its totient is φ = 136550400.

The previous prime is 512068787. The next prime is 512068813. The reversal of 512068800 is 8860215.

It is an interprime number because it is at equal distance from previous prime (512068787) and next prime (512068813).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48541 + ... + 58140.

Almost surely, 2^512068800 is an apocalyptic number.

512068800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512068800 is an abundant number, since it is smaller than the sum of its proper divisors (1167959336).

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

512068800 is a wasteful number, since it uses less digits than its factorization.

512068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106706 (or 106691 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 512068800 is about 22628.9372264806. The cubic root of 512068800 is about 800.0358317284.

It can be divided in two parts, 51206 and 8800, that added together give a palindrome (60006).

The spelling of 512068800 in words is "five hundred twelve million, sixty-eight thousand, eight hundred".