890095248 has 240 divisors, whose sum is σ = 3045519360. Its totient is φ = 236888064.

The previous prime is 890095211. The next prime is 890095249. The reversal of 890095248 is 842590098.

It is not an unprimeable number, because it can be changed into a prime (890095249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176068 + ... + 2176476.

It is an arithmetic number, because the mean of its divisors is an integer number (12689664).

Almost surely, 2^890095248 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 890095248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522759680).

890095248 is an abundant number, since it is smaller than the sum of its proper divisors (2155424112).

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

890095248 is a wasteful number, since it uses less digits than its factorization.

890095248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 890095248 is about 29834.4640977511. The cubic root of 890095248 is about 961.9344846412.

The spelling of 890095248 in words is "eight hundred ninety million, ninety-five thousand, two hundred forty-eight".