11297520 has 240 divisors, whose sum is σ = 43872192. Its totient is φ = 2580480.

The previous prime is 11297513. The next prime is 11297527. The reversal of 11297520 is 2579211.

It is an interprime number because it is at equal distance from previous prime (11297513) and next prime (11297527).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159085 + ... + 159155.

Almost surely, 2^11297520 is an apocalyptic number.

11297520 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 11297520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

11297520 is an abundant number, since it is smaller than the sum of its proper divisors (32574672).

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

11297520 is a wasteful number, since it uses less digits than its factorization.

11297520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

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

The square root of 11297520 is about 3361.1783648001. The cubic root of 11297520 is about 224.3852850503.

It can be divided in two parts, 1129 and 7520, that added together give a square (8649 = 93²).

The spelling of 11297520 in words is "eleven million, two hundred ninety-seven thousand, five hundred twenty".