27561632 has 48 divisors (see below), whose sum is σ = 62923392. Its totient is φ = 11639040.

The previous prime is 27561619. The next prime is 27561637. The reversal of 27561632 is 23616572.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (27561637) 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, 15038 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (1310904).

Almost surely, 2^27561632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31461696).

27561632 is an abundant number, since it is smaller than the sum of its proper divisors (35361760).

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

27561632 is a wasteful number, since it uses less digits than its factorization.

27561632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 27561632 is about 5249.9173326825. The cubic root of 27561632 is about 302.0658599400.

Subtracting from 27561632 its sum of digits (32), we obtain a triangular number (27561600 = T₇₄₂₄).

The spelling of 27561632 in words is "twenty-seven million, five hundred sixty-one thousand, six hundred thirty-two".