166503456 has 72 divisors (see below), whose sum is σ = 541142784. Its totient is φ = 47571840.

The previous prime is 166503451. The next prime is 166503523. The reversal of 166503456 is 654305661.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 166503456.

It is not an unprimeable number, because it can be changed into a prime (166503451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39280 + ... + 43311.

It is an arithmetic number, because the mean of its divisors is an integer number (7515872).

Almost surely, 2^166503456 is an apocalyptic number.

166503456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166503456 is an abundant number, since it is smaller than the sum of its proper divisors (374639328).

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

166503456 is a wasteful number, since it uses less digits than its factorization.

166503456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82614 (or 82603 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 166503456 is about 12903.6218171489. The cubic root of 166503456 is about 550.1415128974.

The spelling of 166503456 in words is "one hundred sixty-six million, five hundred three thousand, four hundred fifty-six".