10816580 has 48 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 4106880.

The previous prime is 10816571. The next prime is 10816633. The reversal of 10816580 is 8561801.

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, 34625 + ... + 34935.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^10816580 is an apocalyptic number.

10816580 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 10816580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848).

10816580 is an abundant number, since it is smaller than the sum of its proper divisors (13085116).

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

10816580 is a wasteful number, since it uses less digits than its factorization.

10816580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 10816580 is about 3288.8569442893. The cubic root of 10816580 is about 221.1549454960.

The spelling of 10816580 in words is "ten million, eight hundred sixteen thousand, five hundred eighty".