96914880 has 140 divisors (see below), whose sum is σ = 344835480. Its totient is φ = 25837056.

The previous prime is 96914879. The next prime is 96914887. The reversal of 96914880 is 8841969.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96914887) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24051 + ... + 27789.

Almost surely, 2^96914880 is an apocalyptic number.

96914880 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 96914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172417740).

96914880 is an abundant number, since it is smaller than the sum of its proper divisors (247920600).

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

96914880 is a wasteful number, since it uses less digits than its factorization.

96914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 96914880 is about 9844.5355400852. The cubic root of 96914880 is about 459.3356509402.

The spelling of 96914880 in words is "ninety-six million, nine hundred fourteen thousand, eight hundred eighty".