166741920 has 72 divisors (see below), whose sum is σ = 569011716. Its totient is φ = 44464128.

The previous prime is 166741919. The next prime is 166741979. The reversal of 166741920 is 29147661.

It can be written as a sum of positive squares in 2 ways, for example, as 137452176 + 29289744 = 11724^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56457 + ... + 59336.

Almost surely, 2^166741920 is an apocalyptic number.

166741920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166741920 is an abundant number, since it is smaller than the sum of its proper divisors (402269796).

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

166741920 is a wasteful number, since it uses less digits than its factorization.

166741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115814 (or 115803 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 166741920 is about 12912.8587075055. The cubic root of 166741920 is about 550.4040226968.

The spelling of 166741920 in words is "one hundred sixty-six million, seven hundred forty-one thousand, nine hundred twenty".