96761664 has 84 divisors (see below), whose sum is σ = 286349440. Its totient is φ = 31207680.

The previous prime is 96761663. The next prime is 96761689. The reversal of 96761664 is 46616769.

It is a happy number.

It is a super-3 number, since 3×96761664³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96761663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15147 + ... + 20565.

Almost surely, 2^96761664 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 96761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143174720).

96761664 is an abundant number, since it is smaller than the sum of its proper divisors (189587776).

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

96761664 is a wasteful number, since it uses less digits than its factorization.

96761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5455 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 96761664 is about 9836.7506830254. The cubic root of 96761664 is about 459.0934635310.

The spelling of 96761664 in words is "ninety-six million, seven hundred sixty-one thousand, six hundred sixty-four".