10787968 has 32 divisors (see below), whose sum is σ = 21640320. Its totient is φ = 5356800.

The previous prime is 10787963. The next prime is 10787999. The reversal of 10787968 is 86978701.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10787963) 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, 34533 + ... + 34843.

It is an arithmetic number, because the mean of its divisors is an integer number (676260).

Almost surely, 2^10787968 is an apocalyptic number.

It is an amenable number.

10787968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10787968 is an equidigital number, since it uses as much as digits as its factorization.

10787968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 10787968 is about 3284.5042243846. The cubic root of 10787968 is about 220.9597737368.

It can be divided in two parts, 1078796 and 8, that multiplied together give a palindrome (8630368).

The spelling of 10787968 in words is "ten million, seven hundred eighty-seven thousand, nine hundred sixty-eight".