916616448 has 216 divisors, whose sum is σ = 2936737440. Its totient is φ = 272609280.

The previous prime is 916616413. The next prime is 916616473. The reversal of 916616448 is 844616619.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1494990 + ... + 1495602.

Almost surely, 2^916616448 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 916616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468368720).

916616448 is an abundant number, since it is smaller than the sum of its proper divisors (2020120992).

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

916616448 is a wasteful number, since it uses less digits than its factorization.

916616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 916616448 is about 30275.6741956311. The cubic root of 916616448 is about 971.3950409254.

The spelling of 916616448 in words is "nine hundred sixteen million, six hundred sixteen thousand, four hundred forty-eight".