166450032 has 160 divisors (see below), whose sum is σ = 574963200. Its totient is φ = 45038592.

The previous prime is 166450019. The next prime is 166450061. The reversal of 166450032 is 230054661.

166450032 is a `hidden beast` number, since 16 + 645 + 0 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×166450032² = 55411226305602048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 166449978 and 166450005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56008 + ... + 58904.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^166450032 is an apocalyptic number.

166450032 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 166450032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287481600).

166450032 is an abundant number, since it is smaller than the sum of its proper divisors (408513168).

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

166450032 is a wasteful number, since it uses less digits than its factorization.

166450032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 166450032 is about 12901.5515346023. The cubic root of 166450032 is about 550.0826674639.

The spelling of 166450032 in words is "one hundred sixty-six million, four hundred fifty thousand, thirty-two".