10827432 has 240 divisors, whose sum is σ = 39726720. Its totient is φ = 2721600.

The previous prime is 10827413. The next prime is 10827449. The reversal of 10827432 is 23472801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10827396 and 10827405.

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 59 ways as a sum of consecutive naturals, for example, 349257 + ... + 349287.

It is an arithmetic number, because the mean of its divisors is an integer number (165528).

Almost surely, 2^10827432 is an apocalyptic number.

10827432 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 10827432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863360).

10827432 is an abundant number, since it is smaller than the sum of its proper divisors (28899288).

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

10827432 is a wasteful number, since it uses less digits than its factorization.

10827432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10827432 is about 3290.5063440145. The cubic root of 10827432 is about 221.2288804891.

The spelling of 10827432 in words is "ten million, eight hundred twenty-seven thousand, four hundred thirty-two".