1627398656 has 80 divisors (see below), whose sum is σ = 3528940800. Its totient is φ = 745279488.

The previous prime is 1627398653. The next prime is 1627398671. The reversal of 1627398656 is 6568937261.

It is a junction number, because it is equal to n+sod(n) for n = 1627398598 and 1627398607.

It is not an unprimeable number, because it can be changed into a prime (1627398653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924305 + ... + 926063.

It is an arithmetic number, because the mean of its divisors is an integer number (44111760).

Almost surely, 2^1627398656 is an apocalyptic number.

1627398656 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 1627398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764470400).

1627398656 is an abundant number, since it is smaller than the sum of its proper divisors (1901542144).

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

1627398656 is a wasteful number, since it uses less digits than its factorization.

1627398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1913 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 1627398656 is about 40341.0294365426. The cubic root of 1627398656 is about 1176.2455254243.

The spelling of 1627398656 in words is "one billion, six hundred twenty-seven million, three hundred ninety-eight thousand, six hundred fifty-six".