10836480 has 160 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 2686976.

The previous prime is 10836457. The next prime is 10836487. The reversal of 10836480 is 8463801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10836487) 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, 130519 + ... + 130601.

Almost surely, 2^10836480 is an apocalyptic number.

10836480 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 10836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

10836480 is an abundant number, since it is smaller than the sum of its proper divisors (26286144).

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

10836480 is an equidigital number, since it uses as much as digits as its factorization.

10836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10836480 is about 3291.8809212971. The cubic root of 10836480 is about 221.2904870208.

The spelling of 10836480 in words is "ten million, eight hundred thirty-six thousand, four hundred eighty".