27942480 has 90 divisors (see below), whose sum is σ = 94318926. Its totient is φ = 7413504.

The previous prime is 27942479. The next prime is 27942491. The reversal of 27942480 is 8424972.

It can be written as a sum of positive squares in 3 ways, for example, as 18870336 + 9072144 = 4344^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141742 + ... + 141938.

Almost surely, 2^27942480 is an apocalyptic number.

27942480 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 27942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47159463).

27942480 is an abundant number, since it is smaller than the sum of its proper divisors (66376446).

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

27942480 is a wasteful number, since it uses less digits than its factorization.

27942480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27942480 is about 5286.0646988095. The cubic root of 27942480 is about 303.4508205947.

The spelling of 27942480 in words is "twenty-seven million, nine hundred forty-two thousand, four hundred eighty".