166756960 has 96 divisors (see below), whose sum is σ = 413411040. Its totient is φ = 63479808.

The previous prime is 166756907. The next prime is 166756979. The reversal of 166756960 is 69657661.

166756960 = T₁₃₅ + T₁₃₆ + ... + T₁₀₀₀.

It is a self number, because there is not a number n which added to its sum of digits gives 166756960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384904 + ... + 385336.

It is an arithmetic number, because the mean of its divisors is an integer number (4306365).

Almost surely, 2^166756960 is an apocalyptic number.

166756960 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 166756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206705520).

166756960 is an abundant number, since it is smaller than the sum of its proper divisors (246654080).

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

166756960 is a wasteful number, since it uses less digits than its factorization.

166756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 166756960 is about 12913.4410596092. The cubic root of 166756960 is about 550.4205708803.

The spelling of 166756960 in words is "one hundred sixty-six million, seven hundred fifty-six thousand, nine hundred sixty".