10891920 has 80 divisors (see below), whose sum is σ = 36372672. Its totient is φ = 2680320.

The previous prime is 10891919. The next prime is 10891939. The reversal of 10891920 is 2919801.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 1375 + ... + 4865.

Almost surely, 2^10891920 is an apocalyptic number.

10891920 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 10891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186336).

10891920 is an abundant number, since it is smaller than the sum of its proper divisors (25480752).

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

10891920 is a wasteful number, since it uses less digits than its factorization.

10891920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3514 counting only the distinct ones).

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

The square root of 10891920 is about 3300.2908962696. The cubic root of 10891920 is about 221.6672231944.

It can be divided in two parts, 10891 and 920, that added together give a palindrome (11811).

The spelling of 10891920 in words is "ten million, eight hundred ninety-one thousand, nine hundred twenty".