10887800 has 144 divisors (see below), whose sum is σ = 32442120. Its totient is φ = 3360000.

The previous prime is 10887797. The next prime is 10887827. The reversal of 10887800 is 878801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107750 + ... + 107850.

Almost surely, 2^10887800 is an apocalyptic number.

10887800 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 10887800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221060).

10887800 is an abundant number, since it is smaller than the sum of its proper divisors (21554320).

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

10887800 is a wasteful number, since it uses less digits than its factorization.

10887800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 10887800 is about 3299.6666498299. Note that the first 4 decimals coincide. The cubic root of 10887800 is about 221.6392702368.

It can be divided in two parts, 1088 and 7800, that added together give a palindrome (8888).

The spelling of 10887800 in words is "ten million, eight hundred eighty-seven thousand, eight hundred".