10880415 has 48 divisors (see below), whose sum is σ = 23220288. Its totient is φ = 4589568.

The previous prime is 10880381. The next prime is 10880417. The reversal of 10880415 is 51408801.

10880415 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10880415 - 2⁶ = 10880351 is a prime.

10880415 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2767 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (483756).

Almost surely, 2^10880415 is an apocalyptic number.

10880415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10880415 is an abundant number, since it is smaller than the sum of its proper divisors (12339873).

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

10880415 is a wasteful number, since it uses less digits than its factorization.

10880415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10880415 is about 3298.5474075720. The cubic root of 10880415 is about 221.5891475851.

The spelling of 10880415 in words is "ten million, eight hundred eighty thousand, four hundred fifteen".