96933760 has 192 divisors, whose sum is σ = 295118640. Its totient is φ = 30105600.

The previous prime is 96933751. The next prime is 96933769. The reversal of 96933760 is 6733969.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96933751) and next prime (96933769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96933769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344820 + ... + 345100.

Almost surely, 2^96933760 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 96933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559320).

96933760 is an abundant number, since it is smaller than the sum of its proper divisors (198184880).

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

96933760 is a wasteful number, since it uses less digits than its factorization.

96933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 43.

The square root of 96933760 is about 9845.4944009938. The cubic root of 96933760 is about 459.3654767489.

The spelling of 96933760 in words is "ninety-six million, nine hundred thirty-three thousand, seven hundred sixty".