890463768 has 64 divisors (see below), whose sum is σ = 2357717760. Its totient is φ = 279666816.

The previous prime is 890463767. The next prime is 890463781. The reversal of 890463768 is 867364098.

It is a self number, because there is not a number n which added to its sum of digits gives 890463768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890463767) 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 15 ways as a sum of consecutive naturals, for example, 24946 + ... + 49022.

It is an arithmetic number, because the mean of its divisors is an integer number (36839340).

Almost surely, 2^890463768 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 890463768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178858880).

890463768 is an abundant number, since it is smaller than the sum of its proper divisors (1467253992).

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

890463768 is a wasteful number, since it uses less digits than its factorization.

890463768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24172 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 890463768 is about 29840.6395373826. The cubic root of 890463768 is about 962.0672206922.

The spelling of 890463768 in words is "eight hundred ninety million, four hundred sixty-three thousand, seven hundred sixty-eight".