10138632 has 64 divisors (see below), whose sum is σ = 29980800. Its totient is φ = 2795520.

The previous prime is 10138631. The next prime is 10138651. The reversal of 10138632 is 23683101.

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 (10138631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832 + ... + 5912.

It is an arithmetic number, because the mean of its divisors is an integer number (468450).

Almost surely, 2^10138632 is an apocalyptic number.

10138632 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 10138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990400).

10138632 is an abundant number, since it is smaller than the sum of its proper divisors (19842168).

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

10138632 is a wasteful number, since it uses less digits than its factorization.

10138632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10138632 is about 3184.1218569646. The cubic root of 10138632 is about 216.4344821100.

The spelling of 10138632 in words is "ten million, one hundred thirty-eight thousand, six hundred thirty-two".