916903416 has 96 divisors (see below), whose sum is σ = 2707931520. Its totient is φ = 256464000.

The previous prime is 916903373. The next prime is 916903417. The reversal of 916903416 is 614309619.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916903417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34341 + ... + 54891.

It is an arithmetic number, because the mean of its divisors is an integer number (28207620).

Almost surely, 2^916903416 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 916903416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353965760).

916903416 is an abundant number, since it is smaller than the sum of its proper divisors (1791028104).

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

916903416 is a wasteful number, since it uses less digits than its factorization.

916903416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20597 (or 20580 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 916903416 is about 30280.4130751217. The cubic root of 916903416 is about 971.4964029171.

The spelling of 916903416 in words is "nine hundred sixteen million, nine hundred three thousand, four hundred sixteen".