1604916160 has 56 divisors (see below), whose sum is σ = 3826251936. Its totient is φ = 641203200.

The previous prime is 1604916151. The next prime is 1604916167. The reversal of 1604916160 is 616194061.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604916167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321685 + ... + 326635.

Almost surely, 2^1604916160 is an apocalyptic number.

1604916160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1604916160 is an abundant number, since it is smaller than the sum of its proper divisors (2221335776).

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

1604916160 is a wasteful number, since it uses less digits than its factorization.

1604916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1604916160 is about 40061.4048680273. The cubic root of 1604916160 is about 1170.8037820611.

It can be divided in two parts, 1604 and 916160, that added together give a square (917764 = 958²).

The spelling of 1604916160 in words is "one billion, six hundred four million, nine hundred sixteen thousand, one hundred sixty".