880608960 has 756 divisors, whose sum is σ = 4015733904. Its totient is φ = 173352960.

The previous prime is 880608943. The next prime is 880608961. The reversal of 880608960 is 69806088.

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

It is not an unprimeable number, because it can be changed into a prime (880608961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 46347831 + ... + 46347849.

Almost surely, 2^880608960 is an apocalyptic number.

880608960 is a gapful number since it is divisible by the number (80) 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 880608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007866952).

880608960 is an abundant number, since it is smaller than the sum of its proper divisors (3135124944).

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

880608960 is a wasteful number, since it uses less digits than its factorization.

880608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 880608960 is about 29675.0561920277. The cubic root of 880608960 is about 958.5049646140.

It can be divided in two parts, 88060 and 8960, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 880608960 in words is "eight hundred eighty million, six hundred eight thousand, nine hundred sixty".