1604759040 has 400 divisors, whose sum is σ = 5882168160. Its totient is φ = 418037760.

The previous prime is 1604759033. The next prime is 1604759063. The reversal of 1604759040 is 409574061.

1604759040 is a `hidden beast` number, since 1 + 60 + 4 + 7 + 590 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1604758986 and 1604759004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14722506 + ... + 14722614.

Almost surely, 2^1604759040 is an apocalyptic number.

1604759040 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 1604759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941084080).

1604759040 is an abundant number, since it is smaller than the sum of its proper divisors (4277409120).

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

1604759040 is an equidigital number, since it uses as much as digits as its factorization.

1604759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1604759040 is about 40059.4438303879. The cubic root of 1604759040 is about 1170.7655738984.

The spelling of 1604759040 in words is "one billion, six hundred four million, seven hundred fifty-nine thousand, forty".