11253320 has 128 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 3649536.

The previous prime is 11253283. The next prime is 11253323. The reversal of 11253320 is 2335211.

11253320 = T₃₄₁ + T₃₄₂ + ... + T₄₇₄.

11253320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11253320² = 253274422044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11253323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167927 + ... + 167993.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^11253320 is an apocalyptic number.

11253320 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 11253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

11253320 is an abundant number, since it is smaller than the sum of its proper divisors (19591480).

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

11253320 is a wasteful number, since it uses less digits than its factorization.

11253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 11253320 is about 3354.5968461203. The cubic root of 11253320 is about 224.0922770322.

Adding to 11253320 its reverse (2335211), we get a palindrome (13588531).

The spelling of 11253320 in words is "eleven million, two hundred fifty-three thousand, three hundred twenty".