27385920 has 168 divisors, whose sum is σ = 97118424. Its totient is φ = 7077888.

The previous prime is 27385879. The next prime is 27385921. The reversal of 27385920 is 2958372.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 11128896 = 4032^2 + 3336^2 .

It is a super-2 number, since 2×27385920² = 1499977228492800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27385921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106432 + ... + 106688.

Almost surely, 2^27385920 is an apocalyptic number.

27385920 is a gapful number since it is divisible by the number (20) 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 27385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48559212).

27385920 is an abundant number, since it is smaller than the sum of its proper divisors (69732504).

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

27385920 is a wasteful number, since it uses less digits than its factorization.

27385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 27385920 is about 5233.1558356311. The cubic root of 27385920 is about 301.4225769204.

The spelling of 27385920 in words is "twenty-seven million, three hundred eighty-five thousand, nine hundred twenty".