916299216 has 300 divisors, whose sum is σ = 3160922688. Its totient is φ = 255394944.

The previous prime is 916299211. The next prime is 916299221. The reversal of 916299216 is 612992619.

916299216 is a `hidden beast` number, since 9 + 1 + 629 + 9 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (916299211) and next prime (916299221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916299211) 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 59 ways as a sum of consecutive naturals, for example, 2984535 + ... + 2984841.

Almost surely, 2^916299216 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 916299216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580461344).

916299216 is an abundant number, since it is smaller than the sum of its proper divisors (2244623472).

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

916299216 is a wasteful number, since it uses less digits than its factorization.

916299216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 916299216 is about 30270.4346846886. The cubic root of 916299216 is about 971.2829645495.

The spelling of 916299216 in words is "nine hundred sixteen million, two hundred ninety-nine thousand, two hundred sixteen".