627052032 has 120 divisors (see below), whose sum is σ = 1854412560. Its totient is φ = 203857920.

The previous prime is 627052031. The next prime is 627052033. The reversal of 627052032 is 230250726.

627052032 is a `hidden beast` number, since 627 + 0 + 5 + 2 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (627052031) and next prime (627052033).

It is a super-3 number, since 3×627052032³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 627051987 and 627052005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627052031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187269 + ... + 190587.

It is an arithmetic number, because the mean of its divisors is an integer number (15453438).

Almost surely, 2^627052032 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 627052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927206280).

627052032 is an abundant number, since it is smaller than the sum of its proper divisors (1227360528).

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

627052032 is a wasteful number, since it uses less digits than its factorization.

627052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 627052032 is about 25041.0070085051. The cubic root of 627052032 is about 855.9226645713.

The spelling of 627052032 in words is "six hundred twenty-seven million, fifty-two thousand, thirty-two".