10591920 has 120 divisors (see below), whose sum is σ = 36444096. Its totient is φ = 2755584.

The previous prime is 10591909. The next prime is 10591943. The reversal of 10591920 is 2919501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10591920² = 224377538572800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 33684 + ... + 33996.

Almost surely, 2^10591920 is an apocalyptic number.

10591920 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 10591920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222048).

10591920 is an abundant number, since it is smaller than the sum of its proper divisors (25852176).

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

10591920 is a wasteful number, since it uses less digits than its factorization.

10591920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10591920 is about 3254.5230065249. The cubic root of 10591920 is about 219.6130940663.

It can be divided in two parts, 10591 and 920, that added together give a palindrome (11511).

The spelling of 10591920 in words is "ten million, five hundred ninety-one thousand, nine hundred twenty".