11354976 has 72 divisors (see below), whose sum is σ = 32727240. Its totient is φ = 3734016.

The previous prime is 11354969. The next prime is 11354977. The reversal of 11354976 is 67945311.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11354976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11354977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25411 + ... + 25853.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 2^11354976 is an apocalyptic number.

11354976 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 11354976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363620).

11354976 is an abundant number, since it is smaller than the sum of its proper divisors (21372264).

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

11354976 is a wasteful number, since it uses less digits than its factorization.

11354976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 11354976 is about 3369.7145279682. The cubic root of 11354976 is about 224.7650287752.

The spelling of 11354976 in words is "eleven million, three hundred fifty-four thousand, nine hundred seventy-six".