10880408 has 64 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 3985920.

The previous prime is 10880381. The next prime is 10880417. The reversal of 10880408 is 80408801.

10880408 = 792² + 793² + ... + 808².

It is a congruent number.

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, 9953 + ... + 10991.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 2^10880408 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 10880408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

10880408 is an abundant number, since it is smaller than the sum of its proper divisors (16076392).

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

10880408 is a wasteful number, since it uses less digits than its factorization.

10880408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 10880408 is about 3298.5463464987. The cubic root of 10880408 is about 221.5891000647.

The spelling of 10880408 in words is "ten million, eight hundred eighty thousand, four hundred eight".