27142976 has 56 divisors (see below), whose sum is σ = 63032640. Its totient is φ = 11354112.

The previous prime is 27142957. The next prime is 27143021. The reversal of 27142976 is 67924172.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×27142976² = 1473482292273152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18560 + ... + 19968.

Almost surely, 2^27142976 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 27142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31516320).

27142976 is an abundant number, since it is smaller than the sum of its proper divisors (35889664).

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

27142976 is a wasteful number, since it uses less digits than its factorization.

27142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1461 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 27142976 is about 5209.8921294015. The cubic root of 27142976 is about 300.5286087696.

The spelling of 27142976 in words is "twenty-seven million, one hundred forty-two thousand, nine hundred seventy-six".