166088560 has 80 divisors (see below), whose sum is σ = 432731232. Its totient is φ = 58752000.

The previous prime is 166088537. The next prime is 166088567. The reversal of 166088560 is 65880661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166088567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30010 + ... + 35110.

Almost surely, 2^166088560 is an apocalyptic number.

166088560 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 166088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216365616).

166088560 is an abundant number, since it is smaller than the sum of its proper divisors (266642672).

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

166088560 is a wasteful number, since it uses less digits than its factorization.

166088560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 166088560 is about 12887.5350629979. The cubic root of 166088560 is about 549.6841823242.

The spelling of 166088560 in words is "one hundred sixty-six million, eighty-eight thousand, five hundred sixty".