1604957112 has 256 divisors, whose sum is σ = 5200588800. Its totient is φ = 453720960.

The previous prime is 1604957099. The next prime is 1604957129. The reversal of 1604957112 is 2117594061.

1604957112 is a `hidden beast` number, since 160 + 495 + 7 + 1 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2349523 + ... + 2350205.

It is an arithmetic number, because the mean of its divisors is an integer number (20314800).

Almost surely, 2^1604957112 is an apocalyptic number.

1604957112 is a gapful number since it is divisible by the number (12) 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 1604957112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600294400).

1604957112 is an abundant number, since it is smaller than the sum of its proper divisors (3595631688).

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

1604957112 is a wasteful number, since it uses less digits than its factorization.

1604957112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1604957112 is about 40061.9159801425. The cubic root of 1604957112 is about 1170.8137402861.

The spelling of 1604957112 in words is "one billion, six hundred four million, nine hundred fifty-seven thousand, one hundred twelve".