11307520 has 80 divisors (see below), whose sum is σ = 31033728. Its totient is φ = 3870720.

The previous prime is 11307503. The next prime is 11307521. The reversal of 11307520 is 2570311.

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

It is a super-4 number, since 4×11307520⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11307521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17605 + ... + 18235.

Almost surely, 2^11307520 is an apocalyptic number.

11307520 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 11307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516864).

11307520 is an abundant number, since it is smaller than the sum of its proper divisors (19726208).

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

11307520 is an frugal number, since it uses more digits than its factorization.

11307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 11307520 is about 3362.6656093046. The cubic root of 11307520 is about 224.4514704057.

Adding to 11307520 its reverse (2570311), we get a palindrome (13877831).

The spelling of 11307520 in words is "eleven million, three hundred seven thousand, five hundred twenty".