10164480 has 72 divisors (see below), whose sum is σ = 32475072. Its totient is φ = 2709504.

The previous prime is 10164467. The next prime is 10164509. The reversal of 10164480 is 8446101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10164480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2517 + ... + 5163.

Almost surely, 2^10164480 is an apocalyptic number.

10164480 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 10164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237536).

10164480 is an abundant number, since it is smaller than the sum of its proper divisors (22310592).

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

10164480 is an equidigital number, since it uses as much as digits as its factorization.

10164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10164480 is about 3188.1781631521. The cubic root of 10164480 is about 216.6182561139.

The spelling of 10164480 in words is "ten million, one hundred sixty-four thousand, four hundred eighty".