10088880 has 80 divisors (see below), whose sum is σ = 31617024. Its totient is φ = 2661120.

The previous prime is 10088833. The next prime is 10088891. The reversal of 10088880 is 8888001.

10088880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30315 + ... + 30645.

Almost surely, 2^10088880 is an apocalyptic number.

10088880 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 10088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808512).

10088880 is an abundant number, since it is smaller than the sum of its proper divisors (21528144).

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

10088880 is a wasteful number, since it uses less digits than its factorization.

10088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 10088880 is about 3176.2997339672. The cubic root of 10088880 is about 216.0798744377.

The spelling of 10088880 in words is "ten million, eighty-eight thousand, eight hundred eighty".