166464564 has 72 divisors (see below), whose sum is σ = 456468768. Its totient is φ = 47073600.

The previous prime is 166464559. The next prime is 166464577. The reversal of 166464564 is 465464661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 57987 + ... + 60789.

It is an arithmetic number, because the mean of its divisors is an integer number (6339844).

Almost surely, 2^166464564 is an apocalyptic number.

166464564 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 166464564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234384).

166464564 is an abundant number, since it is smaller than the sum of its proper divisors (290004204).

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

166464564 is a wasteful number, since it uses less digits than its factorization.

166464564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2916 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 166464564 is about 12902.1147103876. The cubic root of 166464564 is about 550.0986754086.

The spelling of 166464564 in words is "one hundred sixty-six million, four hundred sixty-four thousand, five hundred sixty-four".