11652500 has 60 divisors (see below), whose sum is σ = 26241600. Its totient is φ = 4524000.

The previous prime is 11652499. The next prime is 11652523. The reversal of 11652500 is 525611.

11652500 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147461 + ... + 147539.

It is an arithmetic number, because the mean of its divisors is an integer number (437360).

Almost surely, 2^11652500 is an apocalyptic number.

11652500 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 11652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120800).

11652500 is an abundant number, since it is smaller than the sum of its proper divisors (14589100).

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

11652500 is an equidigital number, since it uses as much as digits as its factorization.

11652500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 11652500 is about 3413.5758377397. The cubic root of 11652500 is about 226.7112321062.

The spelling of 11652500 in words is "eleven million, six hundred fifty-two thousand, five hundred".