916105792 has 112 divisors (see below), whose sum is σ = 2259957888. Its totient is φ = 359424000.

The previous prime is 916105781. The next prime is 916105849. The reversal of 916105792 is 297501619.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 280167 + ... + 283417.

Almost surely, 2^916105792 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 916105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129978944).

916105792 is an abundant number, since it is smaller than the sum of its proper divisors (1343852096).

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

916105792 is a wasteful number, since it uses less digits than its factorization.

916105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 916105792 is about 30267.2395834176. The cubic root of 916105792 is about 971.2146161856.

The spelling of 916105792 in words is "nine hundred sixteen million, one hundred five thousand, seven hundred ninety-two".