166936770 has 384 divisors, whose sum is σ = 622702080. Its totient is φ = 29859840.

The previous prime is 166936747. The next prime is 166936771. The reversal of 166936770 is 77639661.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166936771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1531476 + ... + 1531584.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^166936770 is an apocalyptic number.

166936770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166936770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

166936770 is an abundant number, since it is smaller than the sum of its proper divisors (455765310).

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

166936770 is a wasteful number, since it uses less digits than its factorization.

166936770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 166936770 is about 12920.4013095569. The cubic root of 166936770 is about 550.6183348825.

The spelling of 166936770 in words is "one hundred sixty-six million, nine hundred thirty-six thousand, seven hundred seventy".