916617312 has 144 divisors (see below), whose sum is σ = 2867417280. Its totient is φ = 275982336.

The previous prime is 916617307. The next prime is 916617343. The reversal of 916617312 is 213716619.

916617312 is a `hidden beast` number, since 9 + 1 + 6 + 617 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173364 + ... + 178572.

It is an arithmetic number, because the mean of its divisors is an integer number (19912620).

Almost surely, 2^916617312 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 916617312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433708640).

916617312 is an abundant number, since it is smaller than the sum of its proper divisors (1950799968).

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

916617312 is a wasteful number, since it uses less digits than its factorization.

916617312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5274 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 916617312 is about 30275.6884645089. The cubic root of 916617312 is about 971.3953461367.

The spelling of 916617312 in words is "nine hundred sixteen million, six hundred seventeen thousand, three hundred twelve".