880360506 has 48 divisors (see below), whose sum is σ = 1972159488. Its totient is φ = 283528800.

The previous prime is 880360477. The next prime is 880360519. The reversal of 880360506 is 605063088.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591295 + ... + 592781.

It is an arithmetic number, because the mean of its divisors is an integer number (41086656).

Almost surely, 2^880360506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880360506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986079744).

880360506 is an abundant number, since it is smaller than the sum of its proper divisors (1091798982).

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

880360506 is a wasteful number, since it uses less digits than its factorization.

880360506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 880360506 is about 29670.8696535845. The cubic root of 880360506 is about 958.4148123053.

The spelling of 880360506 in words is "eight hundred eighty million, three hundred sixty thousand, five hundred six".