27575680 has 64 divisors (see below), whose sum is σ = 71934480. Its totient is φ = 10024960.

The previous prime is 27575663. The next prime is 27575687. The reversal of 27575680 is 8657572.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27575687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5082 + ... + 8998.

Almost surely, 2^27575680 is an apocalyptic number.

27575680 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 27575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35967240).

27575680 is an abundant number, since it is smaller than the sum of its proper divisors (44358800).

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

27575680 is a wasteful number, since it uses less digits than its factorization.

27575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 27575680 is about 5251.2550880718. The cubic root of 27575680 is about 302.1171716144.

The spelling of 27575680 in words is "twenty-seven million, five hundred seventy-five thousand, six hundred eighty".