166627240 has 72 divisors (see below), whose sum is σ = 408571290. Its totient is φ = 61132032.

The previous prime is 166627229. The next prime is 166627247. The reversal of 166627240 is 42726661.

166627240 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 9 ways, for example, as 12916836 + 153710404 = 3594^2 + 12398^2 .

It is a super-2 number, since 2×166627240² = 55529274220035200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166627196 and 166627205.

It is not an unprimeable number, because it can be changed into a prime (166627247) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1061242 + ... + 1061398.

Almost surely, 2^166627240 is an apocalyptic number.

166627240 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 166627240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204285645).

166627240 is an abundant number, since it is smaller than the sum of its proper divisors (241944050).

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

166627240 is a wasteful number, since it uses less digits than its factorization.

166627240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 166627240 is about 12908.4174088073. The cubic root of 166627240 is about 550.2778100652.

The spelling of 166627240 in words is "one hundred sixty-six million, six hundred twenty-seven thousand, two hundred forty".