27142864 has 60 divisors (see below), whose sum is σ = 62021700. Its totient is φ = 11472384.

The previous prime is 27142859. The next prime is 27142873. The reversal of 27142864 is 46824172.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 21344400 = 2408^2 + 4620^2 .

It is a super-2 number, since 2×27142864² = 1473470132244992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69582 + ... + 69970.

It is an arithmetic number, because the mean of its divisors is an integer number (1033695).

Almost surely, 2^27142864 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 27142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31010850).

27142864 is an abundant number, since it is smaller than the sum of its proper divisors (34878836).

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

27142864 is a wasteful number, since it uses less digits than its factorization.

27142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 27142864 is about 5209.8813806074. The cubic root of 27142864 is about 300.5281954122.

The spelling of 27142864 in words is "twenty-seven million, one hundred forty-two thousand, eight hundred sixty-four".