11652520 has 64 divisors (see below), whose sum is σ = 29082240. Its totient is φ = 4166400.

The previous prime is 11652499. The next prime is 11652523. The reversal of 11652520 is 2525611.

11652520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11652491 and 11652500.

It is not an unprimeable number, because it can be changed into a prime (11652523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31054 + ... + 31426.

It is an arithmetic number, because the mean of its divisors is an integer number (454410).

Almost surely, 2^11652520 is an apocalyptic number.

11652520 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 11652520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541120).

11652520 is an abundant number, since it is smaller than the sum of its proper divisors (17429720).

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

11652520 is a wasteful number, since it uses less digits than its factorization.

11652520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 11652520 is about 3413.5787672178. The cubic root of 11652520 is about 226.7113618129.

The spelling of 11652520 in words is "eleven million, six hundred fifty-two thousand, five hundred twenty".