27726320 has 160 divisors (see below), whose sum is σ = 76334400. Its totient is φ = 9289728.

The previous prime is 27726317. The next prime is 27726323. The reversal of 27726320 is 2362772.

It is an interprime number because it is at equal distance from previous prime (27726317) and next prime (27726323).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27726323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749342 + ... + 749378.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 2^27726320 is an apocalyptic number.

27726320 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 27726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38167200).

27726320 is an abundant number, since it is smaller than the sum of its proper divisors (48608080).

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

27726320 is a wasteful number, since it uses less digits than its factorization.

27726320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 27726320 is about 5265.5787905984. The cubic root of 27726320 is about 302.6663065670. Note that the first 3 decimals are identical.

The spelling of 27726320 in words is "twenty-seven million, seven hundred twenty-six thousand, three hundred twenty".