10887680 has 40 divisors (see below), whose sum is σ = 26111052. Its totient is φ = 4354048.

The previous prime is 10887677. The next prime is 10887689. The reversal of 10887680 is 8678801.

It can be written as a sum of positive squares in 2 ways, for example, as 9935104 + 952576 = 3152^2 + 976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10887689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 434 + ... + 4686.

Almost surely, 2^10887680 is an apocalyptic number.

10887680 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 10887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055526).

10887680 is an abundant number, since it is smaller than the sum of its proper divisors (15223372).

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

10887680 is an frugal number, since it uses more digits than its factorization.

10887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 10887680 is about 3299.6484661248. The cubic root of 10887680 is about 221.6384559673.

The spelling of 10887680 in words is "ten million, eight hundred eighty-seven thousand, six hundred eighty".