11533620 has 72 divisors (see below), whose sum is σ = 37576224. Its totient is φ = 2635584.

The previous prime is 11533583. The next prime is 11533657. The reversal of 11533620 is 2633511.

It is an interprime number because it is at equal distance from previous prime (11533583) and next prime (11533657).

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 23 ways as a sum of consecutive naturals, for example, 979 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (521892).

Almost surely, 2^11533620 is an apocalyptic number.

11533620 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 11533620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788112).

11533620 is an abundant number, since it is smaller than the sum of its proper divisors (26042604).

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

11533620 is a wasteful number, since it uses less digits than its factorization.

11533620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 11533620 is about 3396.1183724953. The cubic root of 11533620 is about 225.9376182017.

The spelling of 11533620 in words is "eleven million, five hundred thirty-three thousand, six hundred twenty".