27400560 has 160 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 6512640.

The previous prime is 27400553. The next prime is 27400619. The reversal of 27400560 is 6500472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 27400560.

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, 256027 + ... + 256133.

Almost surely, 2^27400560 is an apocalyptic number.

27400560 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 27400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

27400560 is an abundant number, since it is smaller than the sum of its proper divisors (67093392).

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

27400560 is a wasteful number, since it uses less digits than its factorization.

27400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27400560 is about 5234.5544222980. The cubic root of 27400560 is about 301.4762789739.

The spelling of 27400560 in words is "twenty-seven million, four hundred thousand, five hundred sixty".