166088832 has 256 divisors, whose sum is σ = 559776000. Its totient is φ = 43352064.

The previous prime is 166088831. The next prime is 166088843. The reversal of 166088832 is 238880661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (166088831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712208 + ... + 1712304.

It is an arithmetic number, because the mean of its divisors is an integer number (2186625).

Almost surely, 2^166088832 is an apocalyptic number.

166088832 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 166088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279888000).

166088832 is an abundant number, since it is smaller than the sum of its proper divisors (393687168).

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

166088832 is an equidigital number, since it uses as much as digits as its factorization.

166088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 166088832 is about 12887.5456158262. The cubic root of 166088832 is about 549.6844823930.

The spelling of 166088832 in words is "one hundred sixty-six million, eighty-eight thousand, eight hundred thirty-two".