11455632 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3504384.

The previous prime is 11455597. The next prime is 11455649. The reversal of 11455632 is 23655411.

It is a junction number, because it is equal to n+sod(n) for n = 11455596 and 11455605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144969 + ... + 145047.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^11455632 is an apocalyptic number.

11455632 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 11455632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11455632 is an abundant number, since it is smaller than the sum of its proper divisors (23363568).

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

11455632 is a wasteful number, since it uses less digits than its factorization.

11455632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

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

The square root of 11455632 is about 3384.6169650346. The cubic root of 11455632 is about 225.4272179377.

The spelling of 11455632 in words is "eleven million, four hundred fifty-five thousand, six hundred thirty-two".