27761468 has 48 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 11363520.

The previous prime is 27761467. The next prime is 27761473. The reversal of 27761468 is 86416772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27761467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145253 + ... + 145443.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^27761468 is an apocalyptic number.

27761468 is a gapful number since it is divisible by the number (28) 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 27761468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

27761468 is an abundant number, since it is smaller than the sum of its proper divisors (30299332).

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

27761468 is a wasteful number, since it uses less digits than its factorization.

27761468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 27761468 is about 5268.9152583810. The cubic root of 27761468 is about 302.7941468679.

The spelling of 27761468 in words is "twenty-seven million, seven hundred sixty-one thousand, four hundred sixty-eight".