11279520 has 192 divisors, whose sum is σ = 45239040. Its totient is φ = 2571264.

The previous prime is 11279507. The next prime is 11279537. The reversal of 11279520 is 2597211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30054 + ... + 30426.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 2^11279520 is an apocalyptic number.

11279520 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 11279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

11279520 is an abundant number, since it is smaller than the sum of its proper divisors (33959520).

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

11279520 is a wasteful number, since it uses less digits than its factorization.

11279520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11279520 is about 3358.4996650290. The cubic root of 11279520 is about 224.2660529218.

The spelling of 11279520 in words is "eleven million, two hundred seventy-nine thousand, five hundred twenty".