166630464 has 504 divisors, whose sum is σ = 681215808. Its totient is φ = 37601280.

The previous prime is 166630439. The next prime is 166630483. The reversal of 166630464 is 464036661.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 9801784 + ... + 9801800.

Almost surely, 2^166630464 is an apocalyptic number.

166630464 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 166630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340607904).

166630464 is an abundant number, since it is smaller than the sum of its proper divisors (514585344).

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

166630464 is a wasteful number, since it uses less digits than its factorization.

166630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 166630464 is about 12908.5422879580. The cubic root of 166630464 is about 550.2813590732.

The spelling of 166630464 in words is "one hundred sixty-six million, six hundred thirty thousand, four hundred sixty-four".