10836240 has 80 divisors (see below), whose sum is σ = 33920448. Its totient is φ = 2861568.

The previous prime is 10836229. The next prime is 10836253. The reversal of 10836240 is 4263801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10836240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38982 + ... + 39258.

Almost surely, 2^10836240 is an apocalyptic number.

10836240 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 10836240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16960224).

10836240 is an abundant number, since it is smaller than the sum of its proper divisors (23084208).

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

10836240 is a wasteful number, since it uses less digits than its factorization.

10836240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10836240 is about 3291.8444677718. The cubic root of 10836240 is about 221.2888533381.

The spelling of 10836240 in words is "ten million, eight hundred thirty-six thousand, two hundred forty".