1657987056 has 120 divisors (see below), whose sum is σ = 5249497344. Its totient is φ = 502407360.

The previous prime is 1657987027. The next prime is 1657987061. The reversal of 1657987056 is 6507897561.

1657987056 is a `hidden beast` number, since 16 + 579 + 8 + 7 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1657986993 and 1657987011.

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, 23385 + ... + 62151.

Almost surely, 2^1657987056 is an apocalyptic number.

1657987056 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 1657987056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624748672).

1657987056 is an abundant number, since it is smaller than the sum of its proper divisors (3591510288).

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

1657987056 is a wasteful number, since it uses less digits than its factorization.

1657987056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38801 (or 38783 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 1657987056 is about 40718.3871979232. The cubic root of 1657987056 is about 1183.5693550416.

The spelling of 1657987056 in words is "one billion, six hundred fifty-seven million, nine hundred eighty-seven thousand, fifty-six".