27960240 has 320 divisors, whose sum is σ = 115706880. Its totient is φ = 5406720.

The previous prime is 27960227. The next prime is 27960259. The reversal of 27960240 is 4206972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27960198 and 27960207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314116 + ... + 314204.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 2^27960240 is an apocalyptic number.

27960240 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 27960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

27960240 is an abundant number, since it is smaller than the sum of its proper divisors (87746640).

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

27960240 is a wasteful number, since it uses less digits than its factorization.

27960240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27960240 is about 5287.7443205964. The cubic root of 27960240 is about 303.5150972228.

The spelling of 27960240 in words is "twenty-seven million, nine hundred sixty thousand, two hundred forty".