27640480 has 192 divisors, whose sum is σ = 82736640. Its totient is φ = 8515584.

The previous prime is 27640471. The next prime is 27640493. The reversal of 27640480 is 8404672.

It is a super-2 number, since 2×27640480² = 1527992269260800, which contains 22 as substring.

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, 747022 + ... + 747058.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^27640480 is an apocalyptic number.

27640480 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 27640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

27640480 is an abundant number, since it is smaller than the sum of its proper divisors (55096160).

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

27640480 is a wasteful number, since it uses less digits than its factorization.

27640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 27640480 is about 5257.4214211912. The cubic root of 27640480 is about 302.3536345401.

The spelling of 27640480 in words is "twenty-seven million, six hundred forty thousand, four hundred eighty".