27720468 has 108 divisors (see below), whose sum is σ = 77663040. Its totient is φ = 8643024.

The previous prime is 27720467. The next prime is 27720499. The reversal of 27720468 is 86402772.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×27720468² = 1536848692278048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27720467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350853 + ... + 350931.

Almost surely, 2^27720468 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 27720468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831520).

27720468 is an abundant number, since it is smaller than the sum of its proper divisors (49942572).

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

27720468 is a wasteful number, since it uses less digits than its factorization.

27720468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27720468 is about 5265.0230768725. The cubic root of 27720468 is about 302.6450111835.

The spelling of 27720468 in words is "twenty-seven million, seven hundred twenty thousand, four hundred sixty-eight".