96876240 has 160 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 24084480.

The previous prime is 96876223. The next prime is 96876343. The reversal of 96876240 is 4267869.

96876240 is a nontrivial binomial coefficient, being equal to C(13920, 2).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 96876192 and 96876201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 215536 + ... + 215984.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^96876240 is an apocalyptic number.

96876240 is the 13919-th triangular number and also the 6960-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

96876240 is an abundant number, since it is smaller than the sum of its proper divisors (224531760).

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

96876240 is a wasteful number, since it uses less digits than its factorization.

96876240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 96876240 is about 9842.5728343762. The cubic root of 96876240 is about 459.2745970584.

The spelling of 96876240 in words is "ninety-six million, eight hundred seventy-six thousand, two hundred forty".