248322096 has 240 divisors, whose sum is σ = 823280640. Its totient is φ = 69050880.

The previous prime is 248322089. The next prime is 248322097. The reversal of 248322096 is 690223842.

248322096 is a `hidden beast` number, since 248 + 322 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 248322096.

It is not an unprimeable number, because it can be changed into a prime (248322097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113441 + ... + 1113663.

It is an arithmetic number, because the mean of its divisors is an integer number (3430336).

Almost surely, 2^248322096 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 248322096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411640320).

248322096 is an abundant number, since it is smaller than the sum of its proper divisors (574958544).

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

248322096 is a wasteful number, since it uses less digits than its factorization.

248322096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 248322096 is about 15758.2389879072. The cubic root of 248322096 is about 628.5480090842.

The spelling of 248322096 in words is "two hundred forty-eight million, three hundred twenty-two thousand, ninety-six".