96896880 has 120 divisors (see below), whose sum is σ = 331072560. Its totient is φ = 25390080.

The previous prime is 96896843. The next prime is 96896893. The reversal of 96896880 is 8869869.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 41340 + ... + 43620.

It is an arithmetic number, because the mean of its divisors is an integer number (2758938).

Almost surely, 2^96896880 is an apocalyptic number.

96896880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165536280).

96896880 is an abundant number, since it is smaller than the sum of its proper divisors (234175680).

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

96896880 is a wasteful number, since it uses less digits than its factorization.

96896880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 96896880 is about 9843.6212848728. The cubic root of 96896880 is about 459.3072117104.

The spelling of 96896880 in words is "ninety-six million, eight hundred ninety-six thousand, eight hundred eighty".