916164 has 48 divisors (see below), whose sum is σ = 2520000. Its totient is φ = 286848.

The previous prime is 916141. The next prime is 916169. The reversal of 916164 is 461619.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (916169) 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, 1587 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (52500).

2⁹¹⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000).

916164 is an abundant number, since it is smaller than the sum of its proper divisors (1603836).

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

916164 is a wasteful number, since it uses less digits than its factorization.

916164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 916164 is about 957.1645626537. The cubic root of 916164 is about 97.1235185594.

The spelling of 916164 in words is "nine hundred sixteen thousand, one hundred sixty-four".