96066864 has 160 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 29611008.

The previous prime is 96066863. The next prime is 96066871. The reversal of 96066864 is 46866069.

It is not an unprimeable number, because it can be changed into a prime (96066863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756369 + ... + 756495.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^96066864 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 96066864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

96066864 is an abundant number, since it is smaller than the sum of its proper divisors (201056976).

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

96066864 is a wasteful number, since it uses less digits than its factorization.

96066864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 96066864 is about 9801.3705164125. The cubic root of 96066864 is about 457.9919781462.

The spelling of 96066864 in words is "ninety-six million, sixty-six thousand, eight hundred sixty-four".