96352256 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 33914880.

The previous prime is 96352219. The next prime is 96352301. The reversal of 96352256 is 65225369.

Its product of digits (97200) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050025 + ... + 2050071.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^96352256 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 96352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

96352256 is an abundant number, since it is smaller than the sum of its proper divisors (167824384).

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

96352256 is a wasteful number, since it uses less digits than its factorization.

96352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its digits is 97200, while the sum is 38.

The square root of 96352256 is about 9815.9185000692. The cubic root of 96352256 is about 458.4450585006.

The spelling of 96352256 in words is "ninety-six million, three hundred fifty-two thousand, two hundred fifty-six".