916800 has 84 divisors (see below), whose sum is σ = 3023616. Its totient is φ = 243200.

The previous prime is 916787. The next prime is 916831. The reversal of 916800 is 8619.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

916800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4705 + ... + 4895.

2⁹¹⁶⁸⁰⁰ 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 916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511808).

916800 is an abundant number, since it is smaller than the sum of its proper divisors (2106816).

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

916800 is a wasteful number, since it uses less digits than its factorization.

916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 916800 is about 957.4967362869. The cubic root of 916800 is about 97.1459877060.

The spelling of 916800 in words is "nine hundred sixteen thousand, eight hundred".