1604627712 has 144 divisors (see below), whose sum is σ = 4804054080. Its totient is φ = 528242688.

The previous prime is 1604627711. The next prime is 1604627743. The reversal of 1604627712 is 2177264061.

1604627712 is a `hidden beast` number, since 16 + 0 + 4 + 627 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604627711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572298 + ... + 575094.

Almost surely, 2^1604627712 is an apocalyptic number.

1604627712 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 1604627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402027040).

1604627712 is an abundant number, since it is smaller than the sum of its proper divisors (3199426368).

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

1604627712 is an equidigital number, since it uses as much as digits as its factorization.

1604627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1604627712 is about 40057.8046328053. The cubic root of 1604627712 is about 1170.7336358749.

The spelling of 1604627712 in words is "one billion, six hundred four million, six hundred twenty-seven thousand, seven hundred twelve".