10479168 has 168 divisors, whose sum is σ = 36137088. Its totient is φ = 2838528.

The previous prime is 10479137. The next prime is 10479173. The reversal of 10479168 is 86197401.

10479168 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 (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92680 + ... + 92792.

Almost surely, 2^10479168 is an apocalyptic number.

10479168 is a gapful number since it is divisible by the number (18) 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 10479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).

10479168 is an abundant number, since it is smaller than the sum of its proper divisors (25657920).

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

10479168 is a wasteful number, since it uses less digits than its factorization.

10479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10479168 is about 3237.1543058680. The cubic root of 10479168 is about 218.8310450174.

The spelling of 10479168 in words is "ten million, four hundred seventy-nine thousand, one hundred sixty-eight".