166464496 has 40 divisors (see below), whose sum is σ = 352656000. Its totient is φ = 75491520.

The previous prime is 166464449. The next prime is 166464497. The reversal of 166464496 is 694464661.

166464496 = 199² + 200² + ... + 797².

166464496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166464497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104635 + ... + 106213.

It is an arithmetic number, because the mean of its divisors is an integer number (8816400).

Almost surely, 2^166464496 is an apocalyptic number.

166464496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166464496 is an abundant number, since it is smaller than the sum of its proper divisors (186191504).

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

166464496 is a wasteful number, since it uses less digits than its factorization.

166464496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2191 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 166464496 is about 12902.1120751604. The cubic root of 166464496 is about 550.0986005043.

The spelling of 166464496 in words is "one hundred sixty-six million, four hundred sixty-four thousand, four hundred ninety-six".