166314240 has 108 divisors (see below), whose sum is σ = 575469804. Its totient is φ = 44347392.

The previous prime is 166314233. The next prime is 166314241. The reversal of 166314240 is 42413661.

166314240 is a `hidden beast` number, since 1 + 6 + 631 + 4 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 94945536 = 8448^2 + 9744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166314241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4302 + ... + 18738.

Almost surely, 2^166314240 is an apocalyptic number.

166314240 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 166314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287734902).

166314240 is an abundant number, since it is smaller than the sum of its proper divisors (409155564).

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

166314240 is a wasteful number, since it uses less digits than its factorization.

166314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14464 (or 14447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 166314240 is about 12896.2878379788. The cubic root of 166314240 is about 549.9330386799.

The spelling of 166314240 in words is "one hundred sixty-six million, three hundred fourteen thousand, two hundred forty".