166010880 has 224 divisors, whose sum is σ = 610233984. Its totient is φ = 37748736.

The previous prime is 166010861. The next prime is 166010903. The reversal of 166010880 is 88010661.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×166010880² = 55119224556748800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860064 + ... + 860256.

Almost surely, 2^166010880 is an apocalyptic number.

166010880 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 166010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305116992).

166010880 is an abundant number, since it is smaller than the sum of its proper divisors (444223104).

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

166010880 is an equidigital number, since it uses as much as digits as its factorization.

166010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 166010880 is about 12884.5209456929. The cubic root of 166010880 is about 549.5984727768.

The spelling of 166010880 in words is "one hundred sixty-six million, ten thousand, eight hundred eighty".