96910464 has 128 divisors (see below), whose sum is σ = 303943680. Its totient is φ = 26772480.

The previous prime is 96910453. The next prime is 96910481. The reversal of 96910464 is 46401969.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82747 + ... + 83909.

It is an arithmetic number, because the mean of its divisors is an integer number (2374560).

Almost surely, 2^96910464 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 96910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151971840).

96910464 is an abundant number, since it is smaller than the sum of its proper divisors (207033216).

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

96910464 is a wasteful number, since it uses less digits than its factorization.

96910464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 96910464 is about 9844.3112506665. The cubic root of 96910464 is about 459.3286741752.

The spelling of 96910464 in words is "ninety-six million, nine hundred ten thousand, four hundred sixty-four".