27382656 has 128 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 7649280.

The previous prime is 27382651. The next prime is 27382657. The reversal of 27382656 is 65628372.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27382656² = 1499619699228672, which contains 22 as substring.

Its product of digits (120960) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27382651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163885 + ... + 164051.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^27382656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

27382656 is an abundant number, since it is smaller than the sum of its proper divisors (57611904).

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

27382656 is a wasteful number, since it uses less digits than its factorization.

27382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 27382656 is about 5232.8439686274. The cubic root of 27382656 is about 301.4106013945.

The spelling of 27382656 in words is "twenty-seven million, three hundred eighty-two thousand, six hundred fifty-six".