11835360 has 72 divisors (see below), whose sum is σ = 40393080. Its totient is φ = 3155712.

The previous prime is 11835359. The next prime is 11835361. The reversal of 11835360 is 6353811.

11835360 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 (11835359) and next prime (11835361).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11835361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2670 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (561015).

Almost surely, 2^11835360 is an apocalyptic number.

11835360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11835360 is an abundant number, since it is smaller than the sum of its proper divisors (28557720).

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

11835360 is a wasteful number, since it uses less digits than its factorization.

11835360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8240 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11835360 is about 3440.2558044425. The cubic root of 11835360 is about 227.8909912883.

The spelling of 11835360 in words is "eleven million, eight hundred thirty-five thousand, three hundred sixty".