166992048 has 120 divisors (see below), whose sum is σ = 484083600. Its totient is φ = 53706240.

The previous prime is 166992047. The next prime is 166992053. The reversal of 166992048 is 840299661.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 166991994 and 166992012.

It is not an unprimeable number, because it can be changed into a prime (166992041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922518 + ... + 922698.

It is an arithmetic number, because the mean of its divisors is an integer number (4034030).

Almost surely, 2^166992048 is an apocalyptic number.

166992048 is a gapful number since it is divisible by the number (18) 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 166992048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242041800).

166992048 is an abundant number, since it is smaller than the sum of its proper divisors (317091552).

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

166992048 is a wasteful number, since it uses less digits than its factorization.

166992048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 166992048 is about 12922.5403075402. The cubic root of 166992048 is about 550.6791038418.

The spelling of 166992048 in words is "one hundred sixty-six million, nine hundred ninety-two thousand, forty-eight".