27427680 has 192 divisors, whose sum is σ = 109831680. Its totient is φ = 6262272.

The previous prime is 27427669. The next prime is 27427691. The reversal of 27427680 is 8672472.

It is an interprime number because it is at equal distance from previous prime (27427669) and next prime (27427691).

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 31 ways as a sum of consecutive naturals, for example, 29787 + ... + 30693.

It is an arithmetic number, because the mean of its divisors is an integer number (572040).

Almost surely, 2^27427680 is an apocalyptic number.

27427680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27427680 is the 3024-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54915840).

27427680 is an abundant number, since it is smaller than the sum of its proper divisors (82404000).

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

27427680 is a wasteful number, since it uses less digits than its factorization.

27427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27427680 is about 5237.1442599951. The cubic root of 27427680 is about 301.5757093107.

The spelling of 27427680 in words is "twenty-seven million, four hundred twenty-seven thousand, six hundred eighty".