890403840 has 440 divisors, whose sum is σ = 3388358160. Its totient is φ = 222953472.

The previous prime is 890403797. The next prime is 890403851. The reversal of 890403840 is 48304098.

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

It is a junction number, because it is equal to n+sod(n) for n = 890403795 and 890403804.

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 39 ways as a sum of consecutive naturals, for example, 7879624 + ... + 7879736.

It is an arithmetic number, because the mean of its divisors is an integer number (7700814).

Almost surely, 2^890403840 is an apocalyptic number.

890403840 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 890403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694179080).

890403840 is an abundant number, since it is smaller than the sum of its proper divisors (2497954320).

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

890403840 is a wasteful number, since it uses less digits than its factorization.

890403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 890403840 is about 29839.6353865123. The cubic root of 890403840 is about 962.0456379096.

The spelling of 890403840 in words is "eight hundred ninety million, four hundred three thousand, eight hundred forty".