11533860 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2695680.

The previous prime is 11533859. The next prime is 11533861. The reversal of 11533860 is 6833511.

It is an interprime number because it is at equal distance from previous prime (11533859) and next prime (11533861).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11533861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217594 + ... + 217646.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^11533860 is an apocalyptic number.

11533860 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 11533860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11533860 is an abundant number, since it is smaller than the sum of its proper divisors (29108700).

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

11533860 is a wasteful number, since it uses less digits than its factorization.

11533860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

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

The square root of 11533860 is about 3396.1537067689. The cubic root of 11533860 is about 225.9391853493.

The spelling of 11533860 in words is "eleven million, five hundred thirty-three thousand, eight hundred sixty".