11353440 has 192 divisors, whose sum is σ = 42577920. Its totient is φ = 2488320.

The previous prime is 11353427. The next prime is 11353453. The reversal of 11353440 is 4435311.

11353440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11353427) and next prime (11353453).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 104106 + ... + 104214.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 2^11353440 is an apocalyptic number.

11353440 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 11353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

11353440 is an abundant number, since it is smaller than the sum of its proper divisors (31224480).

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

11353440 is a wasteful number, since it uses less digits than its factorization.

11353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 11353440 is about 3369.4866077787. The cubic root of 11353440 is about 224.7548935812.

Adding to 11353440 its reverse (4435311), we get a palindrome (15788751).

The spelling of 11353440 in words is "eleven million, three hundred fifty-three thousand, four hundred forty".