1604991024 has 400 divisors, whose sum is σ = 5915176960. Its totient is φ = 408706560.

The previous prime is 1604991007. The next prime is 1604991079. The reversal of 1604991024 is 4201994061.

It is a happy number.

1604991024 is a `hidden beast` number, since 1 + 60 + 499 + 102 + 4 = 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 self number, because there is not a number n which added to its sum of digits gives 1604991024.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3655797 + ... + 3656235.

Almost surely, 2^1604991024 is an apocalyptic number.

1604991024 is a gapful number since it is divisible by the number (14) 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 1604991024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957588480).

1604991024 is an abundant number, since it is smaller than the sum of its proper divisors (4310185936).

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

1604991024 is a wasteful number, since it uses less digits than its factorization.

1604991024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1604991024 is about 40062.3392227663. The cubic root of 1604991024 is about 1170.8219864786.

The spelling of 1604991024 in words is "one billion, six hundred four million, nine hundred ninety-one thousand, twenty-four".