916382720 has 176 divisors, whose sum is σ = 2451290688. Its totient is φ = 325877760.

The previous prime is 916382717. The next prime is 916382771. The reversal of 916382720 is 27283619.

It is a tau number, because it is divible by the number of its divisors (176).

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, 2984807 + ... + 2985113.

It is an arithmetic number, because the mean of its divisors is an integer number (13927788).

Almost surely, 2^916382720 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 916382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225645344).

916382720 is an abundant number, since it is smaller than the sum of its proper divisors (1534907968).

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

916382720 is a wasteful number, since it uses less digits than its factorization.

916382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 916382720 is about 30271.8139529167. The cubic root of 916382720 is about 971.3124685760.

The spelling of 916382720 in words is "nine hundred sixteen million, three hundred eighty-two thousand, seven hundred twenty".