166871520 has 72 divisors (see below), whose sum is σ = 569453976. Its totient is φ = 44498688.

The previous prime is 166871483. The next prime is 166871521. The reversal of 166871520 is 25178661.

166871520 is a `hidden beast` number, since 1 + 6 + 68 + 71 + 520 = 666.

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

It is a super-2 number, since 2×166871520² = 55692208374220800, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166871521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56502 + ... + 59381.

It is an arithmetic number, because the mean of its divisors is an integer number (7909083).

Almost surely, 2^166871520 is an apocalyptic number.

166871520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166871520 is an abundant number, since it is smaller than the sum of its proper divisors (402582456).

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

166871520 is a wasteful number, since it uses less digits than its factorization.

166871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115904 (or 115893 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 166871520 is about 12917.8759863996. The cubic root of 166871520 is about 550.5465861032.

The spelling of 166871520 in words is "one hundred sixty-six million, eight hundred seventy-one thousand, five hundred twenty".