96958720 has 72 divisors (see below), whose sum is σ = 233997120. Its totient is φ = 38492160.

The previous prime is 96958717. The next prime is 96958721. The reversal of 96958720 is 2785969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96958721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269901 + ... + 270259.

It is an arithmetic number, because the mean of its divisors is an integer number (3249960).

Almost surely, 2^96958720 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 96958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116998560).

96958720 is an abundant number, since it is smaller than the sum of its proper divisors (137038400).

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

96958720 is a wasteful number, since it uses less digits than its factorization.

96958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 96958720 is about 9846.7619043013. The cubic root of 96958720 is about 459.4049015352.

The spelling of 96958720 in words is "ninety-six million, nine hundred fifty-eight thousand, seven hundred twenty".