10933920 has 96 divisors (see below), whose sum is σ = 38283840. Its totient is φ = 2914560.

The previous prime is 10933919. The next prime is 10933927. The reversal of 10933920 is 2933901.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (10933927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3055 + ... + 5585.

It is an arithmetic number, because the mean of its divisors is an integer number (398790).

Almost surely, 2^10933920 is an apocalyptic number.

10933920 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 10933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141920).

10933920 is an abundant number, since it is smaller than the sum of its proper divisors (27349920).

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

10933920 is a wasteful number, since it uses less digits than its factorization.

10933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 10933920 is about 3306.6478494088. The cubic root of 10933920 is about 221.9517791541.

The spelling of 10933920 in words is "ten million, nine hundred thirty-three thousand, nine hundred twenty".