27133920 has 192 divisors, whose sum is σ = 103783680. Its totient is φ = 6566400.

The previous prime is 27133889. The next prime is 27133927. The reversal of 27133920 is 2933172.

27133920 is a `hidden beast` number, since 271 + 3 + 392 + 0 = 666.

It is a super-2 number, since 2×27133920² = 1472499229132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27133927) 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, 47235 + ... + 47805.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^27133920 is an apocalyptic number.

27133920 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 27133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

27133920 is an abundant number, since it is smaller than the sum of its proper divisors (76649760).

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

27133920 is a wasteful number, since it uses less digits than its factorization.

27133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 27133920 is about 5209.0229410130. The cubic root of 27133920 is about 300.4951821989.

It can be divided in two parts, 271 and 33920, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 27133920 in words is "twenty-seven million, one hundred thirty-three thousand, nine hundred twenty".