10753638 has 48 divisors (see below), whose sum is σ = 25390080. Its totient is φ = 3027024.

The previous prime is 10753619. The next prime is 10753657. The reversal of 10753638 is 83635701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10753619) and next prime (10753657).

It is a junction number, because it is equal to n+sod(n) for n = 10753599 and 10753608.

It is a congruent number.

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, 22995 + ... + 23457.

It is an arithmetic number, because the mean of its divisors is an integer number (528960).

Almost surely, 2^10753638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695040).

10753638 is an abundant number, since it is smaller than the sum of its proper divisors (14636442).

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

10753638 is a wasteful number, since it uses less digits than its factorization.

10753638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 10753638 is about 3279.2740050200. The cubic root of 10753638 is about 220.7251416708.

The spelling of 10753638 in words is "ten million, seven hundred fifty-three thousand, six hundred thirty-eight".