916684200 has 288 divisors, whose sum is σ = 3375286200. Its totient is φ = 221921280.

The previous prime is 916684199. The next prime is 916684201. The reversal of 916684200 is 2486619.

It is an interprime number because it is at equal distance from previous prime (916684199) and next prime (916684201).

It can be written as a sum of positive squares in 12 ways, for example, as 389430756 + 527253444 = 19734^2 + 22962^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (916684201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 886884 + ... + 887916.

Almost surely, 2^916684200 is an apocalyptic number.

916684200 is a gapful number since it is divisible by the number (90) 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 916684200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687643100).

916684200 is an abundant number, since it is smaller than the sum of its proper divisors (2458602000).

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

916684200 is a wasteful number, since it uses less digits than its factorization.

916684200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 916684200 is about 30276.7930930606. The cubic root of 916684200 is about 971.4189739948.

The spelling of 916684200 in words is "nine hundred sixteen million, six hundred eighty-four thousand, two hundred".