880249560 has 128 divisors (see below), whose sum is σ = 2820026880. Its totient is φ = 219276288.

The previous prime is 880249543. The next prime is 880249567. The reversal of 880249560 is 65942088.

It is a Cunningham number, because it is equal to 29669²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880249567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114972 + ... + 122388.

It is an arithmetic number, because the mean of its divisors is an integer number (22031460).

Almost surely, 2^880249560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410013440).

880249560 is an abundant number, since it is smaller than the sum of its proper divisors (1939777320).

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

880249560 is a wasteful number, since it uses less digits than its factorization.

880249560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 880249560 is about 29668.9999831474. Note that the first 4 decimals coincide. The cubic root of 880249560 is about 958.3745497249.

The spelling of 880249560 in words is "eight hundred eighty million, two hundred forty-nine thousand, five hundred sixty".