91984000 has 64 divisors (see below), whose sum is σ = 228735000. Its totient is φ = 36787200.

The previous prime is 91983977. The next prime is 91984001. The reversal of 91984000 is 48919.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 86564416 = 2328^2 + 9304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×91984000² = 16922112512000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91984001) 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 7 ways as a sum of consecutive naturals, for example, 13126 + ... + 18874.

Almost surely, 2^91984000 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 91984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114367500).

91984000 is an abundant number, since it is smaller than the sum of its proper divisors (136751000).

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

91984000 is an equidigital number, since it uses as much as digits as its factorization.

91984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 91984000 is about 9590.8289527027. The cubic root of 91984000 is about 451.4095718421.

The spelling of 91984000 in words is "ninety-one million, nine hundred eighty-four thousand".