512877640 has 128 divisors (see below), whose sum is σ = 1368576000. Its totient is φ = 170899200.

The previous prime is 512877637. The next prime is 512877653. The reversal of 512877640 is 46778215.

It is a super-2 number, since 2×512877640² = 526086947223939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 512877593 and 512877602.

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 31 ways as a sum of consecutive naturals, for example, 258171 + ... + 260149.

It is an arithmetic number, because the mean of its divisors is an integer number (10692000).

Almost surely, 2^512877640 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 512877640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684288000).

512877640 is an abundant number, since it is smaller than the sum of its proper divisors (855698360).

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

512877640 is a wasteful number, since it uses less digits than its factorization.

512877640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 512877640 is about 22646.8019817368. The cubic root of 512877640 is about 800.4568432348.

The spelling of 512877640 in words is "five hundred twelve million, eight hundred seventy-seven thousand, six hundred forty".