11275632 has 80 divisors (see below), whose sum is σ = 33172480. Its totient is φ = 3665088.

The previous prime is 11275619. The next prime is 11275637. The reversal of 11275632 is 23657211.

It is a happy number.

11275632 is a `hidden beast` number, since 1 + 1 + 27 + 5 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11275596 and 11275605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11275637) 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, 18273 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (414656).

Almost surely, 2^11275632 is an apocalyptic number.

11275632 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 11275632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16586240).

11275632 is an abundant number, since it is smaller than the sum of its proper divisors (21896848).

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

11275632 is a wasteful number, since it uses less digits than its factorization.

11275632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 655 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 11275632 is about 3357.9207852479. The cubic root of 11275632 is about 224.2402821261.

The spelling of 11275632 in words is "eleven million, two hundred seventy-five thousand, six hundred thirty-two".