916872 has 64 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 264000.

The previous prime is 916871. The next prime is 916879. The reversal of 916872 is 278619.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916872.

It is not an unprimeable number, because it can be changed into a prime (916871) 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, 5997 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁹¹⁶⁸⁷² is an apocalyptic number.

916872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280).

916872 is an abundant number, since it is smaller than the sum of its proper divisors (1709688).

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

916872 is a wasteful number, since it uses less digits than its factorization.

916872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 916872 is about 957.5343335881. The cubic root of 916872 is about 97.1485307281.

The spelling of 916872 in words is "nine hundred sixteen thousand, eight hundred seventy-two".