11652004 has 72 divisors (see below), whose sum is σ = 27147960. Its totient is φ = 4322304.

The previous prime is 11651993. The next prime is 11652013. The reversal of 11652004 is 40025611.

11652004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78400 + 11573604 = 280^2 + 3402^2 .

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, 43182 + ... + 43450.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^11652004 is an apocalyptic number.

11652004 is a gapful number since it is divisible by the number (14) 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 11652004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573980).

11652004 is an abundant number, since it is smaller than the sum of its proper divisors (15495956).

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

11652004 is a wasteful number, since it uses less digits than its factorization.

11652004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 11652004 is about 3413.5031858781. The cubic root of 11652004 is about 226.7080153325.

Adding to 11652004 its reverse (40025611), we get a palindrome (51677615).

The spelling of 11652004 in words is "eleven million, six hundred fifty-two thousand, four".