96256000 has 120 divisors (see below), whose sum is σ = 245359296. Its totient is φ = 37683200.

The previous prime is 96255983. The next prime is 96256021. The reversal of 96256000 is 65269.

It is a self number, because there is not a number n which added to its sum of digits gives 96256000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047977 + ... + 2048023.

Almost surely, 2^96256000 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 96256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122679648).

96256000 is an abundant number, since it is smaller than the sum of its proper divisors (149103296).

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

96256000 is an frugal number, since it uses more digits than its factorization.

96256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 96256000 is about 9811.0142187238. The cubic root of 96256000 is about 458.2923452786.

It can be divided in two parts, 9625 and 6000, that added together give a 6-th power (15625 = 5⁶).

The spelling of 96256000 in words is "ninety-six million, two hundred fifty-six thousand".