166722624 has 140 divisors (see below), whose sum is σ = 511721100. Its totient is φ = 53609472.

The previous prime is 166722623. The next prime is 166722643. The reversal of 166722624 is 426227661.

166722624 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 22 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 132710400 = 5832^2 + 11520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166722623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149782 + ... + 150890.

Almost surely, 2^166722624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166722624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255860550).

166722624 is an abundant number, since it is smaller than the sum of its proper divisors (344998476).

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

166722624 is a wasteful number, since it uses less digits than its factorization.

166722624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1143 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 166722624 is about 12912.1115236819. Note that the first 3 decimals coincide. The cubic root of 166722624 is about 550.3827902722.

The spelling of 166722624 in words is "one hundred sixty-six million, seven hundred twenty-two thousand, six hundred twenty-four".