10887360 has 112 divisors (see below), whose sum is σ = 37746432. Its totient is φ = 2636800.

The previous prime is 10887319. The next prime is 10887367. The reversal of 10887360 is 6378801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10887367) 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 15 ways as a sum of consecutive naturals, for example, 10045 + ... + 11075.

Almost surely, 2^10887360 is an apocalyptic number.

10887360 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 10887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873216).

10887360 is an abundant number, since it is smaller than the sum of its proper divisors (26859072).

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

10887360 is a wasteful number, since it uses less digits than its factorization.

10887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10887360 is about 3299.5999757546. The cubic root of 10887360 is about 221.6362845527.

It can be divided in two parts, 1088 and 7360, that added together give a palindrome (8448).

The spelling of 10887360 in words is "ten million, eight hundred eighty-seven thousand, three hundred sixty".