166688496 has 160 divisors (see below), whose sum is σ = 524133120. Its totient is φ = 50409216.

The previous prime is 166688453. The next prime is 166688497. The reversal of 166688496 is 694886661.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166688497) 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, 376051 + ... + 376493.

It is an arithmetic number, because the mean of its divisors is an integer number (3275832).

Almost surely, 2^166688496 is an apocalyptic number.

166688496 is a gapful number since it is divisible by the number (16) 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 166688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262066560).

166688496 is an abundant number, since it is smaller than the sum of its proper divisors (357444624).

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

166688496 is a wasteful number, since it uses less digits than its factorization.

166688496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 166688496 is about 12910.7899061212. The cubic root of 166688496 is about 550.3452333904.

The spelling of 166688496 in words is "one hundred sixty-six million, six hundred eighty-eight thousand, four hundred ninety-six".