916632 has 48 divisors (see below), whose sum is σ = 2574000. Its totient is φ = 294336.

The previous prime is 916621. The next prime is 916633. The reversal of 916632 is 236619.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 916596 and 916605.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916632.

It is not an unprimeable number, because it can be changed into a prime (916633) by changing a digit.

916632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1869 + ... + 2307.

It is an arithmetic number, because the mean of its divisors is an integer number (53625).

2⁹¹⁶⁶³² 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 916632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287000).

916632 is an abundant number, since it is smaller than the sum of its proper divisors (1657368).

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

916632 is a wasteful number, since it uses less digits than its factorization.

916632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 916632 is about 957.4090035089. The cubic root of 916632 is about 97.1400534699.

It can be divided in two parts, 9 and 16632, that added together give a square (16641 = 129²).

The spelling of 916632 in words is "nine hundred sixteen thousand, six hundred thirty-two".