166977720 has 256 divisors, whose sum is σ = 685440000. Its totient is φ = 35209728.

The previous prime is 166977691. The next prime is 166977731. The reversal of 166977720 is 27779661.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97431 + ... + 99129.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^166977720 is an apocalyptic number.

166977720 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 166977720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720000).

166977720 is an abundant number, since it is smaller than the sum of its proper divisors (518462280).

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

166977720 is a wasteful number, since it uses less digits than its factorization.

166977720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 166977720 is about 12921.9859154853. The cubic root of 166977720 is about 550.6633538786.

The spelling of 166977720 in words is "one hundred sixty-six million, nine hundred seventy-seven thousand, seven hundred twenty".