166118832 has 240 divisors, whose sum is σ = 557107200. Its totient is φ = 45619200.

The previous prime is 166118819. The next prime is 166118833. The reversal of 166118832 is 238811661.

166118832 is a `hidden beast` number, since 1 + 6 + 611 + 8 + 8 + 32 = 666.

166118832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166118833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834669 + ... + 834867.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2^166118832 is an apocalyptic number.

166118832 is a gapful number since it is divisible by the number (12) 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 166118832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

166118832 is an abundant number, since it is smaller than the sum of its proper divisors (390988368).

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

166118832 is a wasteful number, since it uses less digits than its factorization.

166118832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 166118832 is about 12888.7094776785. The cubic root of 166118832 is about 549.7175762130.

The spelling of 166118832 in words is "one hundred sixty-six million, one hundred eighteen thousand, eight hundred thirty-two".