1656815616 has 153 divisors (see below), whose sum is σ = 4878331549. Its totient is φ = 541851648.

The previous prime is 1656815579. The next prime is 1656815623. The reversal of 1656815616 is 6165186561.

The square root of 1656815616 is 40704.

It is a perfect power (a square), and thus also a powerful number.

1656815616 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 81 + 561 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1194393600 + 462422016 = 34560^2 + 21504^2 .

It is a Duffinian number.

Its product of digits (259200) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31260646 + ... + 31260698.

Almost surely, 2^1656815616 is an apocalyptic number.

1656815616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1656815616 is the 40704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656815616

1656815616 is an abundant number, since it is smaller than the sum of its proper divisors (3221515933).

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

1656815616 is an frugal number, since it uses more digits than its factorization.

1656815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 58 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The cubic root of 1656815616 is about 1183.2905416164.

The spelling of 1656815616 in words is "one billion, six hundred fifty-six million, eight hundred fifteen thousand, six hundred sixteen".