10379880 has 128 divisors (see below), whose sum is σ = 39571200. Its totient is φ = 2370816.

The previous prime is 10379879. The next prime is 10379893. The reversal of 10379880 is 8897301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6874 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (309150).

Almost surely, 2^10379880 is an apocalyptic number.

10379880 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 10379880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785600).

10379880 is an abundant number, since it is smaller than the sum of its proper divisors (29191320).

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

10379880 is a wasteful number, since it uses less digits than its factorization.

10379880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10379880 is about 3221.7821155379. The cubic root of 10379880 is about 218.1377240438.

The spelling of 10379880 in words is "ten million, three hundred seventy-nine thousand, eight hundred eighty".