627871104 has 240 divisors, whose sum is σ = 2117051820. Its totient is φ = 178601472.

The previous prime is 627871087. The next prime is 627871121. The reversal of 627871104 is 401178726.

It is an interprime number because it is at equal distance from previous prime (627871087) and next prime (627871121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2765839 + ... + 2766065.

Almost surely, 2^627871104 is an apocalyptic number.

627871104 is a gapful number since it is divisible by the number (64) 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 627871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058525910).

627871104 is an abundant number, since it is smaller than the sum of its proper divisors (1489180716).

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

627871104 is an equidigital number, since it uses as much as digits as its factorization.

627871104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 627871104 is about 25057.3562851311. The cubic root of 627871104 is about 856.2951787198.

The spelling of 627871104 in words is "six hundred twenty-seven million, eight hundred seventy-one thousand, one hundred four".