27650240 has 56 divisors (see below), whose sum is σ = 66824352. Its totient is φ = 10895360.

The previous prime is 27650239. The next prime is 27650257. The reversal of 27650240 is 4205672.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 22112 + ... + 23328.

It is an arithmetic number, because the mean of its divisors is an integer number (1193292).

Almost surely, 2^27650240 is an apocalyptic number.

27650240 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 27650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33412176).

27650240 is an abundant number, since it is smaller than the sum of its proper divisors (39174112).

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

27650240 is a wasteful number, since it uses less digits than its factorization.

27650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 27650240 is about 5258.3495509523. The cubic root of 27650240 is about 302.3892179092.

The spelling of 27650240 in words is "twenty-seven million, six hundred fifty thousand, two hundred forty".