27723960 has 96 divisors (see below), whose sum is σ = 98308080. Its totient is φ = 6720000.

The previous prime is 27723959. The next prime is 27723961. The reversal of 27723960 is 6932772.

It is an interprime number because it is at equal distance from previous prime (27723959) and next prime (27723961).

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 (27723961) 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, 460 + ... + 7460.

Almost surely, 2^27723960 is an apocalyptic number.

27723960 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 27723960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49154040).

27723960 is an abundant number, since it is smaller than the sum of its proper divisors (70584120).

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

27723960 is a wasteful number, since it uses less digits than its factorization.

27723960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 27723960 is about 5265.3546889075. The cubic root of 27723960 is about 302.6577189055.

The spelling of 27723960 in words is "twenty-seven million, seven hundred twenty-three thousand, nine hundred sixty".