10981920 has 96 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 2889728.

The previous prime is 10981913. The next prime is 10981921. The reversal of 10981920 is 2918901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10981921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65677 + ... + 65843.

It is an arithmetic number, because the mean of its divisors is an integer number (365148).

Almost surely, 2^10981920 is an apocalyptic number.

10981920 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 10981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

10981920 is an abundant number, since it is smaller than the sum of its proper divisors (24072288).

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

10981920 is a wasteful number, since it uses less digits than its factorization.

10981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 10981920 is about 3313.8980068795. The cubic root of 10981920 is about 222.2760950868.

The spelling of 10981920 in words is "ten million, nine hundred eighty-one thousand, nine hundred twenty".