96983040 has 384 divisors, whose sum is σ = 396264960. Its totient is φ = 19660800.

The previous prime is 96983039. The next prime is 96983059. The reversal of 96983040 is 4038969.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 96983040.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2365420 + ... + 2365460.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^96983040 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 96983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

96983040 is an abundant number, since it is smaller than the sum of its proper divisors (299281920).

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

96983040 is a wasteful number, since it uses less digits than its factorization.

96983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 96983040 is about 9847.9967506087. The cubic root of 96983040 is about 459.4433089220.

The spelling of 96983040 in words is "ninety-six million, nine hundred eighty-three thousand, forty".