10008738 has 32 divisors (see below), whose sum is σ = 22555200. Its totient is φ = 3289248.

The previous prime is 10008731. The next prime is 10008769. The reversal of 10008738 is 83780001.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10008731) 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, 2673 + ... + 5211.

It is an arithmetic number, because the mean of its divisors is an integer number (704850).

Almost surely, 2^10008738 is an apocalyptic number.

10008738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277600).

10008738 is an abundant number, since it is smaller than the sum of its proper divisors (12546462).

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

10008738 is a wasteful number, since it uses less digits than its factorization.

10008738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10008738 is about 3163.6589575996. The cubic root of 10008738 is about 215.5062022357.

Adding to 10008738 its reverse (83780001), we get a palindrome (93788739).

The spelling of 10008738 in words is "ten million, eight thousand, seven hundred thirty-eight".