166377792 has 112 divisors (see below), whose sum is σ = 509788160. Its totient is φ = 46904832.

The previous prime is 166377781. The next prime is 166377797. The reversal of 166377792 is 297773661.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166377797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105393 + ... + 106959.

It is an arithmetic number, because the mean of its divisors is an integer number (4551680).

Almost surely, 2^166377792 is an apocalyptic number.

166377792 is a gapful number since it is divisible by the number (12) 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 166377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254894080).

166377792 is an abundant number, since it is smaller than the sum of its proper divisors (343410368).

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

166377792 is a wasteful number, since it uses less digits than its factorization.

166377792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1658 counting only the distinct ones).

The product of its digits is 666792, while the sum is 48.

The square root of 166377792 is about 12898.7515674968. The cubic root of 166377792 is about 550.0030765668.

The spelling of 166377792 in words is "one hundred sixty-six million, three hundred seventy-seven thousand, seven hundred ninety-two".