10479120 has 80 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 2732032.

The previous prime is 10479109. The next prime is 10479137. The reversal of 10479120 is 2197401.

10479120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (24).

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, 10816 + ... + 11744.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 2^10479120 is an apocalyptic number.

10479120 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 10479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

10479120 is an abundant number, since it is smaller than the sum of its proper divisors (22733040).

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

10479120 is a wasteful number, since it uses less digits than its factorization.

10479120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10479120 is about 3237.1468919405. The cubic root of 10479120 is about 218.8307108972.

The spelling of 10479120 in words is "ten million, four hundred seventy-nine thousand, one hundred twenty".