96948960 has 144 divisors (see below), whose sum is σ = 326347056. Its totient is φ = 24109056.

The previous prime is 96948949. The next prime is 96948989. The reversal of 96948960 is 6984969.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 889386 + ... + 889494.

It is an arithmetic number, because the mean of its divisors is an integer number (2266299).

Almost surely, 2^96948960 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 96948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163173528).

96948960 is an abundant number, since it is smaller than the sum of its proper divisors (229398096).

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

96948960 is a wasteful number, since it uses less digits than its factorization.

96948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 96948960 is about 9846.2662974348. The cubic root of 96948960 is about 459.3894862385.

The spelling of 96948960 in words is "ninety-six million, nine hundred forty-eight thousand, nine hundred sixty".