890486784 has 300 divisors, whose sum is σ = 2949816408. Its totient is φ = 265420800.

The previous prime is 890486783. The next prime is 890486803. The reversal of 890486784 is 487684098.

890486784 is a `hidden beast` number, since 8 + 90 + 486 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 890486784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890486783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14598114 + ... + 14598174.

Almost surely, 2^890486784 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 890486784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474908204).

890486784 is an abundant number, since it is smaller than the sum of its proper divisors (2059329624).

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

890486784 is an equidigital number, since it uses as much as digits as its factorization.

890486784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 890486784 is about 29841.0251834618. The cubic root of 890486784 is about 962.0755095372.

The spelling of 890486784 in words is "eight hundred ninety million, four hundred eighty-six thousand, seven hundred eighty-four".