890681440 has 96 divisors (see below), whose sum is σ = 2395443456. Its totient is φ = 309788160.

The previous prime is 890681431. The next prime is 890681447. The reversal of 890681440 is 44186098.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 890681393 and 890681402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890681447) 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, 29479 + ... + 51481.

It is an arithmetic number, because the mean of its divisors is an integer number (24952536).

Almost surely, 2^890681440 is an apocalyptic number.

890681440 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 890681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197721728).

890681440 is an abundant number, since it is smaller than the sum of its proper divisors (1504762016).

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

890681440 is a wasteful number, since it uses less digits than its factorization.

890681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22052 (or 22044 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 890681440 is about 29844.2865553861. The cubic root of 890681440 is about 962.1456060768.

The spelling of 890681440 in words is "eight hundred ninety million, six hundred eighty-one thousand, four hundred forty".