10479924 has 108 divisors (see below), whose sum is σ = 33259044. Its totient is φ = 2757888.

The previous prime is 10479923. The next prime is 10479929. The reversal of 10479924 is 42997401.

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 5143824 = 2310^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10479923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22704 + ... + 23160.

Almost surely, 2^10479924 is an apocalyptic number.

10479924 is a gapful number since it is divisible by the number (14) 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 10479924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629522).

10479924 is an abundant number, since it is smaller than the sum of its proper divisors (22779120).

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

10479924 is a wasteful number, since it uses less digits than its factorization.

10479924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10479924 is about 3237.2710729872. The cubic root of 10479924 is about 218.8363072765.

The spelling of 10479924 in words is "ten million, four hundred seventy-nine thousand, nine hundred twenty-four".