10634344 has 32 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 4470336.

The previous prime is 10634341. The next prime is 10634359. The reversal of 10634344 is 44343601.

It is a happy number.

It is a super-3 number, since 3×10634344³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10634341) 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, 1177 + ... + 4759.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^10634344 is an apocalyptic number.

10634344 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 10634344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10634344 is an abundant number, since it is smaller than the sum of its proper divisors (12589976).

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

10634344 is a wasteful number, since it uses less digits than its factorization.

10634344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 10634344 is about 3261.0341917864. The cubic root of 10634344 is about 219.9059101785.

Adding to 10634344 its reverse (44343601), we get a palindrome (54977945).

It can be divided in two parts, 106 and 34344, that multiplied together give a square (3640464 = 1908²).

The spelling of 10634344 in words is "ten million, six hundred thirty-four thousand, three hundred forty-four".