166978084 has 81 divisors (see below), whose sum is σ = 373335921. Its totient is φ = 65126880.

The previous prime is 166978057. The next prime is 166978109. The reversal of 166978084 is 480879661.

The square root of 166978084 is 12922.

It is a perfect power (a square), and thus also a powerful number.

166978084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24700900 + 142277184 = 4970^2 + 11928^2 .

It is a super-2 number, since 2×166978084² = 55763361072622112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2351769 + ... + 2351839.

Almost surely, 2^166978084 is an apocalyptic number.

166978084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

166978084 is the 12922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166978084

166978084 is an abundant number, since it is smaller than the sum of its proper divisors (206357837).

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

166978084 is a wasteful number, since it uses less digits than its factorization.

166978084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The cubic root of 166978084 is about 550.6637540144.

Multiplying 166978084 by its sum of digits (49), we get a square (8181926116 = 90454²).

166978084 divided by its sum of digits (49) gives a square (3407716 = 1846²).

The spelling of 166978084 in words is "one hundred sixty-six million, nine hundred seventy-eight thousand, eighty-four".