27655920 has 120 divisors (see below), whose sum is σ = 94360032. Its totient is φ = 7257600.

The previous prime is 27655919. The next prime is 27655951. The reversal of 27655920 is 2955672.

27655920 is a `hidden beast` number, since 2 + 7 + 65 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×27655920² = 1529699822092800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50850 + ... + 51390.

Almost surely, 2^27655920 is an apocalyptic number.

27655920 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 27655920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47180016).

27655920 is an abundant number, since it is smaller than the sum of its proper divisors (66704112).

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

27655920 is a wasteful number, since it uses less digits than its factorization.

27655920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 27655920 is about 5258.8896166396. The cubic root of 27655920 is about 302.4099224089.

The spelling of 27655920 in words is "twenty-seven million, six hundred fifty-five thousand, nine hundred twenty".