166075680 has 96 divisors (see below), whose sum is σ = 540062208. Its totient is φ = 42854400.

The previous prime is 166075673. The next prime is 166075681. The reversal of 166075680 is 86570661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×166075680² = 55162262974924800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166075681) 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, 9300 + ... + 20460.

It is an arithmetic number, because the mean of its divisors is an integer number (5625648).

Almost surely, 2^166075680 is an apocalyptic number.

166075680 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 166075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270031104).

166075680 is an abundant number, since it is smaller than the sum of its proper divisors (373986528).

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

166075680 is a wasteful number, since it uses less digits than its factorization.

166075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11210 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 166075680 is about 12887.0353456487. The cubic root of 166075680 is about 549.6699728059.

The spelling of 166075680 in words is "one hundred sixty-six million, seventy-five thousand, six hundred eighty".