1627420256 has 96 divisors (see below), whose sum is σ = 4006195200. Its totient is φ = 632217600.

The previous prime is 1627420241. The next prime is 1627420273. The reversal of 1627420256 is 6520247261.

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, 1105601 + ... + 1107071.

It is an arithmetic number, because the mean of its divisors is an integer number (41731200).

Almost surely, 2^1627420256 is an apocalyptic number.

1627420256 is a gapful number since it is divisible by the number (16) 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 1627420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003097600).

1627420256 is an abundant number, since it is smaller than the sum of its proper divisors (2378774944).

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

1627420256 is a wasteful number, since it uses less digits than its factorization.

1627420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 1627420256 is about 40341.2971531655. The cubic root of 1627420256 is about 1176.2507293922.

The spelling of 1627420256 in words is "one billion, six hundred twenty-seven million, four hundred twenty thousand, two hundred fifty-six".