1604012760 has 256 divisors, whose sum is σ = 6138547200. Its totient is φ = 364953600.

The previous prime is 1604012749. The next prime is 1604012777. The reversal of 1604012760 is 672104061.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2502040 + ... + 2502680.

It is an arithmetic number, because the mean of its divisors is an integer number (23978700).

Almost surely, 2^1604012760 is an apocalyptic number.

1604012760 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 1604012760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069273600).

1604012760 is an abundant number, since it is smaller than the sum of its proper divisors (4534534440).

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

1604012760 is a wasteful number, since it uses less digits than its factorization.

1604012760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1604012760 is about 40050.1280896828. The cubic root of 1604012760 is about 1170.5840607897.

The spelling of 1604012760 in words is "one billion, six hundred four million, twelve thousand, seven hundred sixty".