916116200 has 48 divisors (see below), whose sum is σ = 2137681260. Its totient is φ = 365120000.

The previous prime is 916116193. The next prime is 916116211. The reversal of 916116200 is 2611619.

It can be written as a sum of positive squares in 6 ways, for example, as 580713604 + 335402596 = 24098^2 + 18314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 916116200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48050 + ... + 64350.

Almost surely, 2^916116200 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 916116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068840630).

916116200 is an abundant number, since it is smaller than the sum of its proper divisors (1221565060).

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

916116200 is a wasteful number, since it uses less digits than its factorization.

916116200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16598 (or 16589 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 916116200 is about 30267.4115180007. The cubic root of 916116200 is about 971.2182942045.

Adding to 916116200 its reverse (2611619), we get a palindrome (918727819).

The spelling of 916116200 in words is "nine hundred sixteen million, one hundred sixteen thousand, two hundred".