96981984 has 180 divisors, whose sum is σ = 316559880. Its totient is φ = 28110720.

The previous prime is 96981977. The next prime is 96982001. The reversal of 96981984 is 48918969.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 96981984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4216597 + ... + 4216619.

It is an arithmetic number, because the mean of its divisors is an integer number (1758666).

Almost surely, 2^96981984 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 96981984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158279940).

96981984 is an abundant number, since it is smaller than the sum of its proper divisors (219577896).

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

96981984 is a wasteful number, since it uses less digits than its factorization.

96981984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 96981984 is about 9847.9431354979. The cubic root of 96981984 is about 459.4416413662.

The spelling of 96981984 in words is "ninety-six million, nine hundred eighty-one thousand, nine hundred eighty-four".