10453920 has 96 divisors (see below), whose sum is σ = 34110720. Its totient is φ = 2688000.

The previous prime is 10453903. The next prime is 10453939. The reversal of 10453920 is 2935401.

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 (24).

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 15 ways as a sum of consecutive naturals, for example, 13545 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 2^10453920 is an apocalyptic number.

10453920 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 10453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055360).

10453920 is an abundant number, since it is smaller than the sum of its proper divisors (23656800).

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

10453920 is a wasteful number, since it uses less digits than its factorization.

10453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10453920 is about 3233.2522326599. The cubic root of 10453920 is about 218.6551567079.

The spelling of 10453920 in words is "ten million, four hundred fifty-three thousand, nine hundred twenty".