10887840 has 72 divisors (see below), whose sum is σ = 37159668. Its totient is φ = 2903040.

The previous prime is 10887839. The next prime is 10887853. The reversal of 10887840 is 4878801.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 467856 = 3228^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10887795 and 10887804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2341 + ... + 5220.

Almost surely, 2^10887840 is an apocalyptic number.

10887840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10887840 is an abundant number, since it is smaller than the sum of its proper divisors (26271828).

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

10887840 is a wasteful number, since it uses less digits than its factorization.

10887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10887840 is about 3299.6727110427. The cubic root of 10887840 is about 221.6395416586.

The spelling of 10887840 in words is "ten million, eight hundred eighty-seven thousand, eight hundred forty".