916393984 has 117 divisors (see below), whose sum is σ = 2062239879. Its totient is φ = 406855680.

The previous prime is 916393981. The next prime is 916393999. The reversal of 916393984 is 489393619.

The square root of 916393984 is 30272.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×916393984² = 1679555867822784512, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (916393981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21311467 + ... + 21311509.

Almost surely, 2^916393984 is an apocalyptic number.

916393984 is the 30272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916393984

916393984 is an abundant number, since it is smaller than the sum of its proper divisors (1145845895).

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

916393984 is an equidigital number, since it uses as much as digits as its factorization.

916393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 56 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 52.

The cubic root of 916393984 is about 971.3164482883.

The spelling of 916393984 in words is "nine hundred sixteen million, three hundred ninety-three thousand, nine hundred eighty-four".