166965480 has 144 divisors (see below), whose sum is σ = 596608740. Its totient is φ = 40465920.

The previous prime is 166965443. The next prime is 166965493. The reversal of 166965480 is 84569661.

166965480 is a `hidden beast` number, since 16 + 6 + 96 + 548 + 0 = 666.

166965480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 158911236 + 8054244 = 12606^2 + 2838^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41644 + ... + 45476.

Almost surely, 2^166965480 is an apocalyptic number.

166965480 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 166965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298304370).

166965480 is an abundant number, since it is smaller than the sum of its proper divisors (429643260).

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

166965480 is a wasteful number, since it uses less digits than its factorization.

166965480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 166965480 is about 12921.5122953933. The cubic root of 166965480 is about 550.6498984224.

The spelling of 166965480 in words is "one hundred sixty-six million, nine hundred sixty-five thousand, four hundred eighty".