10381644 has 72 divisors (see below), whose sum is σ = 32308640. Its totient is φ = 2737152.

The previous prime is 10381607. The next prime is 10381661. The reversal of 10381644 is 44618301.

10381644 is a `hidden beast` number, since 10 + 3 + 8 + 1 + 644 = 666.

10381644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692 + ... + 4860.

Almost surely, 2^10381644 is an apocalyptic number.

10381644 is a gapful number since it is divisible by the number (14) 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 10381644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154320).

10381644 is an abundant number, since it is smaller than the sum of its proper divisors (21926996).

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

10381644 is a wasteful number, since it uses less digits than its factorization.

10381644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10381644 is about 3222.0558654375. The cubic root of 10381644 is about 218.1500804214.

Adding to 10381644 its reverse (44618301), we get a palindrome (54999945).

It can be divided in two parts, 10381 and 644, that added together give a square (11025 = 105²).

The spelling of 10381644 in words is "ten million, three hundred eighty-one thousand, six hundred forty-four".