916716240 has 240 divisors, whose sum is σ = 3378623040. Its totient is φ = 220907520.

The previous prime is 916716239. The next prime is 916716257. The reversal of 916716240 is 42617619.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 916716195 and 916716204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2241156 + ... + 2241564.

It is an arithmetic number, because the mean of its divisors is an integer number (14077596).

Almost surely, 2^916716240 is an apocalyptic number.

916716240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916716240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689311520).

916716240 is an abundant number, since it is smaller than the sum of its proper divisors (2461906800).

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

916716240 is a wasteful number, since it uses less digits than its factorization.

916716240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 916716240 is about 30277.3222065625. The cubic root of 916716240 is about 971.4302915606.

The spelling of 916716240 in words is "nine hundred sixteen million, seven hundred sixteen thousand, two hundred forty".