166817560 has 96 divisors (see below), whose sum is σ = 470277360. Its totient is φ = 52786944.

The previous prime is 166817557. The next prime is 166817579. The reversal of 166817560 is 65718661.

166817560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 22207 + ... + 28753.

Almost surely, 2^166817560 is an apocalyptic number.

166817560 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 166817560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235138680).

166817560 is an abundant number, since it is smaller than the sum of its proper divisors (303459800).

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

166817560 is a wasteful number, since it uses less digits than its factorization.

166817560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 166817560 is about 12915.7872388794. The cubic root of 166817560 is about 550.4872376567.

The spelling of 166817560 in words is "one hundred sixty-six million, eight hundred seventeen thousand, five hundred sixty".