166115664 has 160 divisors (see below), whose sum is σ = 560380800. Its totient is φ = 46448640.

The previous prime is 166115657. The next prime is 166115669. The reversal of 166115664 is 466511661.

It is a happy number.

166115664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166115669) 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, 60432 + ... + 63120.

It is an arithmetic number, because the mean of its divisors is an integer number (3502380).

Almost surely, 2^166115664 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 166115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280190400).

166115664 is an abundant number, since it is smaller than the sum of its proper divisors (394265136).

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

166115664 is a wasteful number, since it uses less digits than its factorization.

166115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2718 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 166115664 is about 12888.5865788301. The cubic root of 166115664 is about 549.7140816937.

The spelling of 166115664 in words is "one hundred sixty-six million, one hundred fifteen thousand, six hundred sixty-four".