11933376 has 112 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 3142656.

The previous prime is 11933333. The next prime is 11933377. The reversal of 11933376 is 67333911.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11933377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17131 + ... + 17813.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 2^11933376 is an apocalyptic number.

11933376 is a gapful number since it is divisible by the number (16) 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 11933376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

11933376 is an abundant number, since it is smaller than the sum of its proper divisors (26983488).

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

11933376 is a wasteful number, since it uses less digits than its factorization.

11933376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 11933376 is about 3454.4718843841. The cubic root of 11933376 is about 228.5183650631.

The spelling of 11933376 in words is "eleven million, nine hundred thirty-three thousand, three hundred seventy-six".