627172020 has 72 divisors (see below), whose sum is σ = 1907385480. Its totient is φ = 166809600.

The previous prime is 627172019. The next prime is 627172037. The reversal of 627172020 is 20271726.

627172020 is a `hidden beast` number, since 627 + 17 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 382124304 + 245047716 = 19548^2 + 15654^2 .

It is a super-4 number, since 4×627172020⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67836 + ... + 76524.

It is an arithmetic number, because the mean of its divisors is an integer number (26491465).

Almost surely, 2^627172020 is an apocalyptic number.

627172020 is a gapful number since it is divisible by the number (60) 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 627172020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953692740).

627172020 is an abundant number, since it is smaller than the sum of its proper divisors (1280213460).

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

627172020 is a wasteful number, since it uses less digits than its factorization.

627172020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 627172020 is about 25043.4027240709. The cubic root of 627172020 is about 855.9772554151.

The spelling of 627172020 in words is "six hundred twenty-seven million, one hundred seventy-two thousand, twenty".