11573952 has 56 divisors (see below), whose sum is σ = 32985456. Its totient is φ = 3560448.

The previous prime is 11573951. The next prime is 11573953. The reversal of 11573952 is 25937511.

It is an interprime number because it is at equal distance from previous prime (11573951) and next prime (11573953).

It is not an unprimeable number, because it can be changed into a prime (11573951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (589026).

Almost surely, 2^11573952 is an apocalyptic number.

11573952 is a gapful number since it is divisible by the number (12) 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 11573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492728).

11573952 is an abundant number, since it is smaller than the sum of its proper divisors (21411504).

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

11573952 is a wasteful number, since it uses less digits than its factorization.

11573952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4655 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 11573952 is about 3402.0511460000. The cubic root of 11573952 is about 226.2006727827.

The spelling of 11573952 in words is "eleven million, five hundred seventy-three thousand, nine hundred fifty-two".