916358240 has 192 divisors, whose sum is σ = 2596406400. Its totient is φ = 298991616.

The previous prime is 916358227. The next prime is 916358257. The reversal of 916358240 is 42853619.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 916358194 and 916358203.

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 31 ways as a sum of consecutive naturals, for example, 2890562 + ... + 2890878.

It is an arithmetic number, because the mean of its divisors is an integer number (13522950).

Almost surely, 2^916358240 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 916358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298203200).

916358240 is an abundant number, since it is smaller than the sum of its proper divisors (1680048160).

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

916358240 is a wasteful number, since it uses less digits than its factorization.

916358240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 916358240 is about 30271.4096136932. The cubic root of 916358240 is about 971.3038193729.

The spelling of 916358240 in words is "nine hundred sixteen million, three hundred fifty-eight thousand, two hundred forty".