27061632 has 144 divisors (see below), whose sum is σ = 84930300. Its totient is φ = 8266752.

The previous prime is 27061621. The next prime is 27061651. The reversal of 27061632 is 23616072.

It is a happy number.

27061632 is a `hidden beast` number, since 27 + 0 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 27061596 and 27061605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194619 + ... + 194757.

Almost surely, 2^27061632 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 27061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42465150).

27061632 is an abundant number, since it is smaller than the sum of its proper divisors (57868668).

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

27061632 is a wasteful number, since it uses less digits than its factorization.

27061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27061632 is about 5202.0795841663. The cubic root of 27061632 is about 300.2280932010.

The spelling of 27061632 in words is "twenty-seven million, sixty-one thousand, six hundred thirty-two".