166986864 has 120 divisors (see below), whose sum is σ = 520895232. Its totient is φ = 49503360.

The previous prime is 166986791. The next prime is 166986887. The reversal of 166986864 is 468689661.

It is a super-2 number, since 2×166986864² = 55769225497108992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 166986864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73327 + ... + 75569.

Almost surely, 2^166986864 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 166986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260447616).

166986864 is an abundant number, since it is smaller than the sum of its proper divisors (353908368).

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

166986864 is a wasteful number, since it uses less digits than its factorization.

166986864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2306 counting only the distinct ones).

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

The square root of 166986864 is about 12922.3397262261. The cubic root of 166986864 is about 550.6734054667.

The spelling of 166986864 in words is "one hundred sixty-six million, nine hundred eighty-six thousand, eight hundred sixty-four".