11852352 has 112 divisors (see below), whose sum is σ = 36779200. Its totient is φ = 3742848.

The previous prime is 11852341. The next prime is 11852359. The reversal of 11852352 is 25325811.

It is a happy number.

The cubic root of 11852352 is 228.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2400) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (11852359) 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, 623799 + ... + 623817.

Almost surely, 2^11852352 is an apocalyptic number.

11852352 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 11852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18389600).

11852352 is an abundant number, since it is smaller than the sum of its proper divisors (24926848).

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

11852352 is an frugal number, since it uses more digits than its factorization.

11852352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 24 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 11852352 is about 3442.7245024835.

Multiplying 11852352 by its sum of digits (27), we get a cube (320013504 = 684³).

11852352 divided by its sum of digits (27) gives a cube (438976 = 76³).

The spelling of 11852352 in words is "eleven million, eight hundred fifty-two thousand, three hundred fifty-two".