166165560 has 256 divisors, whose sum is σ = 615859200. Its totient is φ = 39513600.

The previous prime is 166165523. The next prime is 166165567. The reversal of 166165560 is 65561661.

It is a super-2 number, since 2×166165560² = 55221986660227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166165567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843382 + ... + 843578.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 2^166165560 is an apocalyptic number.

166165560 is a gapful number since it is divisible by the number (10) 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 166165560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307929600).

166165560 is an abundant number, since it is smaller than the sum of its proper divisors (449693640).

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

166165560 is a wasteful number, since it uses less digits than its factorization.

166165560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 166165560 is about 12890.5220995893. The cubic root of 166165560 is about 549.7691152115.

The spelling of 166165560 in words is "one hundred sixty-six million, one hundred sixty-five thousand, five hundred sixty".