166086720 has 224 divisors, whose sum is σ = 599846400. Its totient is φ = 43241472.

The previous prime is 166086709. The next prime is 166086721. The reversal of 166086720 is 27680661.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (166086721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405876 + ... + 406284.

Almost surely, 2^166086720 is an apocalyptic number.

166086720 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 166086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299923200).

166086720 is an abundant number, since it is smaller than the sum of its proper divisors (433759680).

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

166086720 is a wasteful number, since it uses less digits than its factorization.

166086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 166086720 is about 12887.4636759915. The cubic root of 166086720 is about 549.6821524380.

The spelling of 166086720 in words is "one hundred sixty-six million, eighty-six thousand, seven hundred twenty".