11952564 has 48 divisors (see below), whose sum is σ = 31808448. Its totient is φ = 3460608.

The previous prime is 11952559. The next prime is 11952569. The reversal of 11952564 is 46525911.

11952564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11952559) and next prime (11952569).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11952569) 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, 399 + ... + 4905.

It is an arithmetic number, because the mean of its divisors is an integer number (662676).

Almost surely, 2^11952564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11952564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15904224).

11952564 is an abundant number, since it is smaller than the sum of its proper divisors (19855884).

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

11952564 is a wasteful number, since it uses less digits than its factorization.

11952564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4542 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 11952564 is about 3457.2480385416. The cubic root of 11952564 is about 228.6407797744.

The spelling of 11952564 in words is "eleven million, nine hundred fifty-two thousand, five hundred sixty-four".