10086144 has 72 divisors (see below), whose sum is σ = 28060032. Its totient is φ = 3210240.

The previous prime is 10086143. The next prime is 10086149. The reversal of 10086144 is 44168001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086143) 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, 17379 + ... + 17949.

Almost surely, 2^10086144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030016).

10086144 is an abundant number, since it is smaller than the sum of its proper divisors (17973888).

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

10086144 is an equidigital number, since it uses as much as digits as its factorization.

10086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10086144 is about 3175.8690149312. The cubic root of 10086144 is about 216.0603397954.

The spelling of 10086144 in words is "ten million, eighty-six thousand, one hundred forty-four".