11389968 has 120 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 3421440.

The previous prime is 11389957. The next prime is 11389979. The reversal of 11389968 is 86998311.

It is an interprime number because it is at equal distance from previous prime (11389957) and next prime (11389979).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62838 + ... + 63018.

It is an arithmetic number, because the mean of its divisors is an integer number (293384).

Almost surely, 2^11389968 is an apocalyptic number.

11389968 is a gapful number since it is divisible by the number (18) 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 11389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

11389968 is an abundant number, since it is smaller than the sum of its proper divisors (23816112).

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

11389968 is a wasteful number, since it uses less digits than its factorization.

11389968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 11389968 is about 3374.9026652631. The cubic root of 11389968 is about 224.9956739909.

The spelling of 11389968 in words is "eleven million, three hundred eighty-nine thousand, nine hundred sixty-eight".