10890040 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 3345408.

The previous prime is 10890037. The next prime is 10890049. The reversal of 10890040 is 4009801.

It is a junction number, because it is equal to n+sod(n) for n = 10889993 and 10890020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10890049) by changing a digit.

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, 122316 + ... + 122404.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 2^10890040 is an apocalyptic number.

10890040 is a gapful number since it is divisible by the number (10) 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 10890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

10890040 is an abundant number, since it is smaller than the sum of its proper divisors (20213960).

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

10890040 is a wasteful number, since it uses less digits than its factorization.

10890040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10890040 is about 3300.0060606005. The cubic root of 10890040 is about 221.6544688359.

Adding to 10890040 its reverse (4009801), we get a palindrome (14899841).

The spelling of 10890040 in words is "ten million, eight hundred ninety thousand, forty".