27220032 has 168 divisors, whose sum is σ = 91822016. Its totient is φ = 7547904.

The previous prime is 27220031. The next prime is 27220057. The reversal of 27220032 is 23002272.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27219987 and 27220014.

It is not an unprimeable number, because it can be changed into a prime (27220031) by changing a digit.

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, 173298 + ... + 173454.

Almost surely, 2^27220032 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 27220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45911008).

27220032 is an abundant number, since it is smaller than the sum of its proper divisors (64601984).

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

27220032 is a wasteful number, since it uses less digits than its factorization.

27220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 27220032 is about 5217.2820510300. The cubic root of 27220032 is about 300.8127295805.

The spelling of 27220032 in words is "twenty-seven million, two hundred twenty thousand, thirty-two".