10388980 has 36 divisors (see below), whose sum is σ = 25381188. Its totient is φ = 3561600.

The previous prime is 10388957. The next prime is 10388993. The reversal of 10388980 is 8988301.

10388980 = T₁₆₀ + T₁₆₁ + ... + T₄₀₄.

It can be written as a sum of positive squares in 2 ways, for example, as 6492304 + 3896676 = 2548^2 + 1974^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4321 + ... + 6280.

It is an arithmetic number, because the mean of its divisors is an integer number (705033).

Almost surely, 2^10388980 is an apocalyptic number.

10388980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10388980 is an abundant number, since it is smaller than the sum of its proper divisors (14992208).

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

10388980 is a wasteful number, since it uses less digits than its factorization.

10388980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 10388980 is about 3223.1940680015. The cubic root of 10388980 is about 218.2014522524.

The spelling of 10388980 in words is "ten million, three hundred eighty-eight thousand, nine hundred eighty".