11376240 has 80 divisors (see below), whose sum is σ = 35676288. Its totient is φ = 2998528.

The previous prime is 11376223. The next prime is 11376263. The reversal of 11376240 is 4267311.

11376240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11376240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25459 + ... + 25901.

Almost surely, 2^11376240 is an apocalyptic number.

11376240 is a gapful number since it is divisible by the number (10) 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 11376240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838144).

11376240 is an abundant number, since it is smaller than the sum of its proper divisors (24300048).

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

11376240 is a wasteful number, since it uses less digits than its factorization.

11376240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11376240 is about 3372.8682156289. The cubic root of 11376240 is about 224.9052440509.

The spelling of 11376240 in words is "eleven million, three hundred seventy-six thousand, two hundred forty".