166731264 has 160 divisors (see below), whose sum is σ = 564368640. Its totient is φ = 47609856.

The previous prime is 166731259. The next prime is 166731277. The reversal of 166731264 is 462137661.

It is a happy number.

166731264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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, 95907 + ... + 97629.

It is an arithmetic number, because the mean of its divisors is an integer number (3527304).

Almost surely, 2^166731264 is an apocalyptic number.

166731264 is a gapful number since it is divisible by the number (14) 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 166731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282184320).

166731264 is an abundant number, since it is smaller than the sum of its proper divisors (397637376).

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

166731264 is an equidigital number, since it uses as much as digits as its factorization.

166731264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1735 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 166731264 is about 12912.4460889484. The cubic root of 166731264 is about 550.3922975306.

The spelling of 166731264 in words is "one hundred sixty-six million, seven hundred thirty-one thousand, two hundred sixty-four".