10801980 has 72 divisors (see below), whose sum is σ = 37451232. Its totient is φ = 2468736.

The previous prime is 10801979. The next prime is 10801997. The reversal of 10801980 is 8910801.

10801980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10801980 is a modest number, since divided by 1980 gives 1080 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (520156).

Almost surely, 2^10801980 is an apocalyptic number.

10801980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10801980 is an abundant number, since it is smaller than the sum of its proper divisors (26649252).

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

10801980 is a wasteful number, since it uses less digits than its factorization.

10801980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8595 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10801980 is about 3286.6365786317. The cubic root of 10801980 is about 221.0553972085.

It can be divided in two parts, 10801 and 980, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 10801980 in words is "ten million, eight hundred one thousand, nine hundred eighty".