166628664 has 80 divisors (see below), whose sum is σ = 482862600. Its totient is φ = 53621568.

The previous prime is 166628663. The next prime is 166628681. The reversal of 166628664 is 466826661.

It is a super-2 number, since 2×166628664² = 55530223332849792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166628663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14359 + ... + 23225.

Almost surely, 2^166628664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166628664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241431300).

166628664 is an abundant number, since it is smaller than the sum of its proper divisors (316233936).

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

166628664 is a wasteful number, since it uses less digits than its factorization.

166628664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914 (or 8901 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 166628664 is about 12908.4725664968. The cubic root of 166628664 is about 550.2793776227.

The spelling of 166628664 in words is "one hundred sixty-six million, six hundred twenty-eight thousand, six hundred sixty-four".