10788064 has 48 divisors (see below), whose sum is σ = 25710048. Its totient is φ = 4349952.

The previous prime is 10788059. The next prime is 10788077. The reversal of 10788064 is 46088701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2392 + ... + 5224.

It is an arithmetic number, because the mean of its divisors is an integer number (535626).

Almost surely, 2^10788064 is an apocalyptic number.

10788064 is a gapful number since it is divisible by the number (14) 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 10788064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855024).

10788064 is an abundant number, since it is smaller than the sum of its proper divisors (14921984).

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

10788064 is a wasteful number, since it uses less digits than its factorization.

10788064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2859 counting only the distinct ones).

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

The square root of 10788064 is about 3284.5188384298. The cubic root of 10788064 is about 220.9604291606.

The spelling of 10788064 in words is "ten million, seven hundred eighty-eight thousand, sixty-four".