11307968 has 56 divisors (see below), whose sum is σ = 26285952. Its totient is φ = 4725504.

The previous prime is 11307929. The next prime is 11307979. The reversal of 11307968 is 86970311.

It is a tau number, because it is divible by the number of its divisors (56).

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, 18971 + ... + 19557.

It is an arithmetic number, because the mean of its divisors is an integer number (469392).

Almost surely, 2^11307968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142976).

11307968 is an abundant number, since it is smaller than the sum of its proper divisors (14977984).

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

11307968 is an equidigital number, since it uses as much as digits as its factorization.

11307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 11307968 is about 3362.7322224643. The cubic root of 11307968 is about 224.4544345962.

The spelling of 11307968 in words is "eleven million, three hundred seven thousand, nine hundred sixty-eight".