1657990944 has 216 divisors, whose sum is σ = 5021862300. Its totient is φ = 538596864.

The previous prime is 1657990931. The next prime is 1657990963. The reversal of 1657990944 is 4490997561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1640250000 + 17740944 = 40500^2 + 4212^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1657990944² = 5497867940772022272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11127382 + ... + 11127530.

Almost surely, 2^1657990944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1657990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510931150).

1657990944 is an abundant number, since it is smaller than the sum of its proper divisors (3363871356).

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

1657990944 is an frugal number, since it uses more digits than its factorization.

1657990944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1657990944 is about 40718.4349404542. The cubic root of 1657990944 is about 1183.5702802024.

The spelling of 1657990944 in words is "one billion, six hundred fifty-seven million, nine hundred ninety thousand, nine hundred forty-four".