10086432 has 48 divisors (see below), whose sum is σ = 27397440. Its totient is φ = 3245312.

The previous prime is 10086413. The next prime is 10086437. The reversal of 10086432 is 23468001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10086432² = 203472220981248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10086437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (570780).

Almost surely, 2^10086432 is an apocalyptic number.

10086432 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 10086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698720).

10086432 is an abundant number, since it is smaller than the sum of its proper divisors (17311008).

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

10086432 is a wasteful number, since it uses less digits than its factorization.

10086432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10086432 is about 3175.9143565279. The cubic root of 10086432 is about 216.0623962399.

The spelling of 10086432 in words is "ten million, eighty-six thousand, four hundred thirty-two".