10890432 has 168 divisors, whose sum is σ = 37140896. Its totient is φ = 2985984.

The previous prime is 10890427. The next prime is 10890433. The reversal of 10890432 is 23409801.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 10890396 and 10890405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10890433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149148 + ... + 149220.

Almost surely, 2^10890432 is an apocalyptic number.

10890432 is a gapful number since it is divisible by the number (12) 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 10890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570448).

10890432 is an abundant number, since it is smaller than the sum of its proper divisors (26250464).

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

10890432 is a wasteful number, since it uses less digits than its factorization.

10890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10890432 is about 3300.0654538963. The cubic root of 10890432 is about 221.6571283765.

The spelling of 10890432 in words is "ten million, eight hundred ninety thousand, four hundred thirty-two".