27089920 has 176 divisors, whose sum is σ = 78408288. Its totient is φ = 8847360.

The previous prime is 27089899. The next prime is 27089941. The reversal of 27089920 is 2998072.

It is an interprime number because it is at equal distance from previous prime (27089899) and next prime (27089941).

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 27089920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732142 + ... + 732178.

Almost surely, 2^27089920 is an apocalyptic number.

27089920 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 27089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204144).

27089920 is an abundant number, since it is smaller than the sum of its proper divisors (51318368).

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

27089920 is a wasteful number, since it uses less digits than its factorization.

27089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 27089920 is about 5204.7977866580. The cubic root of 27089920 is about 300.3326680073.

The spelling of 27089920 in words is "twenty-seven million, eighty-nine thousand, nine hundred twenty".