166034880 has 224 divisors, whose sum is σ = 639348480. Its totient is φ = 40227840.

The previous prime is 166034857. The next prime is 166034881. The reversal of 166034880 is 88430661.

It is a happy number.

166034880 is a `hidden beast` number, since 1 + 6 + 603 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×166034880² = 55135162753228800, which contains 22 as substring.

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 (166034881) 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, 94167 + ... + 95913.

Almost surely, 2^166034880 is an apocalyptic number.

166034880 is a gapful number since it is divisible by the number (10) 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 166034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319674240).

166034880 is an abundant number, since it is smaller than the sum of its proper divisors (473313600).

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

166034880 is a wasteful number, since it uses less digits than its factorization.

166034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 166034880 is about 12885.4522621443. The cubic root of 166034880 is about 549.6249564381.

The spelling of 166034880 in words is "one hundred sixty-six million, thirty-four thousand, eight hundred eighty".