96693960 has 256 divisors, whose sum is σ = 348364800. Its totient is φ = 21196800.

The previous prime is 96693959. The next prime is 96693973. The reversal of 96693960 is 6939669.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695571 + ... + 695709.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^96693960 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 96693960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

96693960 is an abundant number, since it is smaller than the sum of its proper divisors (251670840).

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

96693960 is a wasteful number, since it uses less digits than its factorization.

96693960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 96693960 is about 9833.3087005341. The cubic root of 96693960 is about 458.9863628644.

The spelling of 96693960 in words is "ninety-six million, six hundred ninety-three thousand, nine hundred sixty".