10788640 has 24 divisors (see below), whose sum is σ = 25488540. Its totient is φ = 4315392.

The previous prime is 10788623. The next prime is 10788649. The reversal of 10788640 is 4688701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 1860496 = 2988^2 + 1364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10788596 and 10788605.

It is not an unprimeable number, because it can be changed into a prime (10788649) 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, 33555 + ... + 33874.

Almost surely, 2^10788640 is an apocalyptic number.

10788640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10788640 is an abundant number, since it is smaller than the sum of its proper divisors (14699900).

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

10788640 is an equidigital number, since it uses as much as digits as its factorization.

10788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67444 (or 67436 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 10788640 is about 3284.6065213355. The cubic root of 10788640 is about 220.9643616222.

The spelling of 10788640 in words is "ten million, seven hundred eighty-eight thousand, six hundred forty".