27642480 has 80 divisors (see below), whose sum is σ = 86378400. Its totient is φ = 7312384.

The previous prime is 27642479. The next prime is 27642491. The reversal of 27642480 is 8424672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35374 + ... + 36146.

It is an arithmetic number, because the mean of its divisors is an integer number (1079730).

Almost surely, 2^27642480 is an apocalyptic number.

27642480 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 27642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43189200).

27642480 is an abundant number, since it is smaller than the sum of its proper divisors (58735920).

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

27642480 is a wasteful number, since it uses less digits than its factorization.

27642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 27642480 is about 5257.6116250632. The cubic root of 27642480 is about 302.3609268964.

The spelling of 27642480 in words is "twenty-seven million, six hundred forty-two thousand, four hundred eighty".