11456532 has 96 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 3576960.

The previous prime is 11456513. The next prime is 11456539. The reversal of 11456532 is 23565411.

11456532 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 653 + 2 = 666.

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

Its product of digits (3600) is a multiple of the sum of its prime divisors (150).

It is a junction number, because it is equal to n+sod(n) for n = 11456496 and 11456505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187782 + ... + 187842.

It is an arithmetic number, because the mean of its divisors is an integer number (329840).

Almost surely, 2^11456532 is an apocalyptic number.

11456532 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 11456532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

11456532 is an abundant number, since it is smaller than the sum of its proper divisors (20208108).

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

11456532 is a wasteful number, since it uses less digits than its factorization.

11456532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 11456532 is about 3384.7499169067. The cubic root of 11456532 is about 225.4331212693.

The spelling of 11456532 in words is "eleven million, four hundred fifty-six thousand, five hundred thirty-two".