627872256 has 160 divisors (see below), whose sum is σ = 2027995200. Its totient is φ = 190218240.

The previous prime is 627872249. The next prime is 627872269. The reversal of 627872256 is 652278726.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150000 + ... + 154128.

It is an arithmetic number, because the mean of its divisors is an integer number (12674970).

Almost surely, 2^627872256 is an apocalyptic number.

627872256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013997600).

627872256 is an abundant number, since it is smaller than the sum of its proper divisors (1400122944).

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

627872256 is a wasteful number, since it uses less digits than its factorization.

627872256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4145 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 627872256 is about 25057.3792723820. The cubic root of 627872256 is about 856.2957024214.

The spelling of 627872256 in words is "six hundred twenty-seven million, eight hundred seventy-two thousand, two hundred fifty-six".