166812360 has 128 divisors (see below), whose sum is σ = 587986560. Its totient is φ = 37324800.

The previous prime is 166812329. The next prime is 166812367. The reversal of 166812360 is 63218661.

166812360 is digitally balanced in base 2, 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 (33).

It is not an unprimeable number, because it can be changed into a prime (166812367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12300 + ... + 22020.

It is an arithmetic number, because the mean of its divisors is an integer number (4593645).

Almost surely, 2^166812360 is an apocalyptic number.

166812360 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 166812360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293993280).

166812360 is an abundant number, since it is smaller than the sum of its proper divisors (421174200).

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

166812360 is a wasteful number, since it uses less digits than its factorization.

166812360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9759 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 166812360 is about 12915.5859332823. The cubic root of 166812360 is about 550.4815177085.

It can be divided in two parts, 1668 and 12360, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 166812360 in words is "one hundred sixty-six million, eight hundred twelve thousand, three hundred sixty".