10836640 has 48 divisors (see below), whose sum is σ = 25923240. Its totient is φ = 4280320.

The previous prime is 10836629. The next prime is 10836643. The reversal of 10836640 is 4663801.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 7639696 = 1788^2 + 2764^2 .

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10836599 and 10836608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10836643) 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, 13860 + ... + 14620.

Almost surely, 2^10836640 is an apocalyptic number.

10836640 is a gapful number since it is divisible by the number (10) 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 10836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12961620).

10836640 is an abundant number, since it is smaller than the sum of its proper divisors (15086600).

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

10836640 is an equidigital number, since it uses as much as digits as its factorization.

10836640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10836640 is about 3291.9052234231. The cubic root of 10836640 is about 221.2915761292.

It can be divided in two parts, 10836 and 640, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 10836640 in words is "ten million, eight hundred thirty-six thousand, six hundred forty".