166894080 has 160 divisors (see below), whose sum is σ = 551536128. Its totient is φ = 43008000.

The previous prime is 166894061. The next prime is 166894099. The reversal of 166894080 is 80498661.

It is an interprime number because it is at equal distance from previous prime (166894061) and next prime (166894099).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237730 + ... + 238430.

Almost surely, 2^166894080 is an apocalyptic number.

166894080 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 166894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064).

166894080 is an abundant number, since it is smaller than the sum of its proper divisors (384642048).

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

166894080 is an equidigital number, since it uses as much as digits as its factorization.

166894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 166894080 is about 12918.7491654572. The cubic root of 166894080 is about 550.5713951526.

The spelling of 166894080 in words is "one hundred sixty-six million, eight hundred ninety-four thousand, eighty".