96825456 has 200 divisors, whose sum is σ = 345332064. Its totient is φ = 25505280.

The previous prime is 96825451. The next prime is 96825457. The reversal of 96825456 is 65452869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96825451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117526 + ... + 118346.

Almost surely, 2^96825456 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 96825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172666032).

96825456 is an abundant number, since it is smaller than the sum of its proper divisors (248506608).

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

96825456 is a wasteful number, since it uses less digits than its factorization.

96825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 96825456 is about 9839.9926829241. The cubic root of 96825456 is about 459.1943301189.

The spelling of 96825456 in words is "ninety-six million, eight hundred twenty-five thousand, four hundred fifty-six".