1607244960 has 384 divisors, whose sum is σ = 5660928000. Its totient is φ = 381652992.

The previous prime is 1607244959. The next prime is 1607244997. The reversal of 1607244960 is 694427061.

It is a happy number.

It is a super-2 number, since 2×1607244960² = 5166472722890803200, which contains 22 as substring.

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, 15604269 + ... + 15604371.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^1607244960 is an apocalyptic number.

1607244960 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 1607244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464000).

1607244960 is an abundant number, since it is smaller than the sum of its proper divisors (4053683040).

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

1607244960 is a wasteful number, since it uses less digits than its factorization.

1607244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1607244960 is about 40090.4597130040. The cubic root of 1607244960 is about 1171.3698033462.

The spelling of 1607244960 in words is "one billion, six hundred seven million, two hundred forty-four thousand, nine hundred sixty".