916032 has 56 divisors (see below), whose sum is σ = 2617216. Its totient is φ = 281088.

The previous prime is 916031. The next prime is 916033. The reversal of 916032 is 230619.

916032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (916031) and next prime (916033).

It is a super-2 number, since 2×916032² = 1678229250048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (916031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2313 + ... + 2679.

It is an arithmetic number, because the mean of its divisors is an integer number (46736).

2⁹¹⁶⁰³² 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 916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308608).

916032 is an abundant number, since it is smaller than the sum of its proper divisors (1701184).

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

916032 is a wasteful number, since it uses less digits than its factorization.

916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 916032 is about 957.0956065096. The cubic root of 916032 is about 97.1188538487.

The spelling of 916032 in words is "nine hundred sixteen thousand, thirty-two".