890835840 has 256 divisors, whose sum is σ = 3258777600. Its totient is φ = 229754880.

The previous prime is 890835821. The next prime is 890835893. The reversal of 890835840 is 48538098.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534849 + ... + 536511.

It is an arithmetic number, because the mean of its divisors is an integer number (12729600).

Almost surely, 2^890835840 is an apocalyptic number.

890835840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629388800).

890835840 is an abundant number, since it is smaller than the sum of its proper divisors (2367941760).

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

890835840 is a wasteful number, since it uses less digits than its factorization.

890835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 890835840 is about 29846.8732030677. The cubic root of 890835840 is about 962.2011989789.

The spelling of 890835840 in words is "eight hundred ninety million, eight hundred thirty-five thousand, eight hundred forty".