512607040 has 112 divisors (see below), whose sum is σ = 1345045824. Its totient is φ = 184524800.

The previous prime is 512607037. The next prime is 512607077. The reversal of 512607040 is 40706215.

It is a junction number, because it is equal to n+sod(n) for n = 512606996 and 512607014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375960 + ... + 377320.

Almost surely, 2^512607040 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 512607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672522912).

512607040 is an abundant number, since it is smaller than the sum of its proper divisors (832438784).

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

512607040 is a wasteful number, since it uses less digits than its factorization.

512607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 512607040 is about 22640.8268400251. The cubic root of 512607040 is about 800.3160417972.

The spelling of 512607040 in words is "five hundred twelve million, six hundred seven thousand, forty".