27997560 has 96 divisors (see below), whose sum is σ = 92186640. Its totient is φ = 7368192.

The previous prime is 27997559. The next prime is 27997577. The reversal of 27997560 is 6579972.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 29412 + ... + 30348.

Almost surely, 2^27997560 is an apocalyptic number.

27997560 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 27997560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46093320).

27997560 is an abundant number, since it is smaller than the sum of its proper divisors (64189080).

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

27997560 is a wasteful number, since it uses less digits than its factorization.

27997560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 27997560 is about 5291.2720587775. The cubic root of 27997560 is about 303.6500763634.

The spelling of 27997560 in words is "twenty-seven million, nine hundred ninety-seven thousand, five hundred sixty".