27859920 has 160 divisors (see below), whose sum is σ = 96315264. Its totient is φ = 6604800.

The previous prime is 27859919. The next prime is 27859921. The reversal of 27859920 is 2995872.

It is an interprime number because it is at equal distance from previous prime (27859919) and next prime (27859921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27859921) 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, 160954 + ... + 161126.

Almost surely, 2^27859920 is an apocalyptic number.

27859920 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 27859920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157632).

27859920 is an abundant number, since it is smaller than the sum of its proper divisors (68455344).

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

27859920 is a wasteful number, since it uses less digits than its factorization.

27859920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 27859920 is about 5278.2497098944. The cubic root of 27859920 is about 303.1516630105.

The spelling of 27859920 in words is "twenty-seven million, eight hundred fifty-nine thousand, nine hundred twenty".