10536736 has 48 divisors (see below), whose sum is σ = 25111296. Its totient is φ = 4248576.

The previous prime is 10536733. The next prime is 10536739. The reversal of 10536736 is 63763501.

It is an interprime number because it is at equal distance from previous prime (10536733) and next prime (10536739).

It is a super-2 number, since 2×10536736² = 222045611067392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10536698 and 10536707.

It is not an unprimeable number, because it can be changed into a prime (10536733) 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, 2425 + ... + 5191.

It is an arithmetic number, because the mean of its divisors is an integer number (523152).

Almost surely, 2^10536736 is an apocalyptic number.

10536736 is a gapful number since it is divisible by the number (16) 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 10536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555648).

10536736 is an abundant number, since it is smaller than the sum of its proper divisors (14574560).

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

10536736 is a wasteful number, since it uses less digits than its factorization.

10536736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 10536736 is about 3246.0338876851. The cubic root of 10536736 is about 219.2310343755.

The spelling of 10536736 in words is "ten million, five hundred thirty-six thousand, seven hundred thirty-six".