1656327204 has 405 divisors, whose sum is σ = 5647049793. Its totient is φ = 421956864.

The previous prime is 1656327173. The next prime is 1656327247. The reversal of 1656327204 is 4027236561.

The square root of 1656327204 is 40698.

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

1656327204 is a `hidden beast` number, since 16 + 5 + 632 + 7 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1289528100 + 366799104 = 35910^2 + 19152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 87175107 + ... + 87175125.

Almost surely, 2^1656327204 is an apocalyptic number.

1656327204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1656327204 is the 40698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656327204

1656327204 is an abundant number, since it is smaller than the sum of its proper divisors (3990722589).

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

1656327204 is a wasteful number, since it uses less digits than its factorization.

1656327204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 1656327204 is about 1183.1742562770.

Multiplying 1656327204 by its sum of digits (36), we get a square (59627779344 = 244188²).

1656327204 divided by its sum of digits (36) gives a square (46009089 = 6783²).

The spelling of 1656327204 in words is "one billion, six hundred fifty-six million, three hundred twenty-seven thousand, two hundred four".