920166 has 32 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 276000.

The previous prime is 920149. The next prime is 920167. The reversal of 920166 is 661029.

920166 = 24² + 25² + ... + 140².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 3791.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2⁹²⁰¹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

920166 is an abundant number, since it is smaller than the sum of its proper divisors (1111962).

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

920166 is a wasteful number, since it uses less digits than its factorization.

920166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 920166 is about 959.2528342413. The cubic root of 920166 is about 97.2647318985.

The spelling of 920166 in words is "nine hundred twenty thousand, one hundred sixty-six".