1607880960 has 432 divisors, whose sum is σ = 6448705536. Its totient is φ = 362299392.

The previous prime is 1607880919. The next prime is 1607881001. The reversal of 1607880960 is 690887061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1607880919) and next prime (1607881001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10241202 + ... + 10241358.

Almost surely, 2^1607880960 is an apocalyptic number.

1607880960 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 1607880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224352768).

1607880960 is an abundant number, since it is smaller than the sum of its proper divisors (4840824576).

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

1607880960 is a wasteful number, since it uses less digits than its factorization.

1607880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1607880960 is about 40098.3909901632. The cubic root of 1607880960 is about 1171.5242898472.

The spelling of 1607880960 in words is "one billion, six hundred seven million, eight hundred eighty thousand, nine hundred sixty".