1604252160 has 600 divisors, whose sum is σ = 6705089820. Its totient is φ = 354041856.

The previous prime is 1604252129. The next prime is 1604252197. The reversal of 1604252160 is 612524061.

1604252160 is a `hidden beast` number, since 1 + 604 + 2 + 52 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1598720256 + 5531904 = 39984^2 + 2352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55319026 + ... + 55319054.

Almost surely, 2^1604252160 is an apocalyptic number.

1604252160 is a gapful number since it is divisible by the number (10) 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 1604252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352544910).

1604252160 is an abundant number, since it is smaller than the sum of its proper divisors (5100837660).

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

1604252160 is an frugal number, since it uses more digits than its factorization.

1604252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1604252160 is about 40053.1167326589. The cubic root of 1604252160 is about 1170.6422947162.

The spelling of 1604252160 in words is "one billion, six hundred four million, two hundred fifty-two thousand, one hundred sixty".