166916900 has 72 divisors (see below), whose sum is σ = 387996000. Its totient is φ = 62138880.

The previous prime is 166916887. The next prime is 166916917. The reversal of 166916900 is 9619661.

It is a super-2 number, since 2×166916900² = 55722503011220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111356 + ... + 112844.

Almost surely, 2^166916900 is an apocalyptic number.

166916900 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 166916900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193998000).

166916900 is an abundant number, since it is smaller than the sum of its proper divisors (221079100).

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

166916900 is a wasteful number, since it uses less digits than its factorization.

166916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 166916900 is about 12919.6323477102. The cubic root of 166916900 is about 550.5964878474.

It can be divided in two parts, 16 and 6916900, that multiplied together give a square (110670400 = 10520²).

The spelling of 166916900 in words is "one hundred sixty-six million, nine hundred sixteen thousand, nine hundred".