10887240 has 128 divisors (see below), whose sum is σ = 40239360. Its totient is φ = 2294784.

The previous prime is 10887229. The next prime is 10887241. The reversal of 10887240 is 4278801.

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

It is a junction number, because it is equal to n+sod(n) for n = 10887198 and 10887207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10887241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10422 + ... + 11418.

It is an arithmetic number, because the mean of its divisors is an integer number (314370).

Almost surely, 2^10887240 is an apocalyptic number.

10887240 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 10887240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119680).

10887240 is an abundant number, since it is smaller than the sum of its proper divisors (29352120).

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

10887240 is a wasteful number, since it uses less digits than its factorization.

10887240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 10887240 is about 3299.5817916821. The cubic root of 10887240 is about 221.6354702613.

The spelling of 10887240 in words is "ten million, eight hundred eighty-seven thousand, two hundred forty".