27906240 has 112 divisors (see below), whose sum is σ = 90891360. Its totient is φ = 7249920.

The previous prime is 27906239. The next prime is 27906247. The reversal of 27906240 is 4260972.

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 = 27906198 and 27906207.

It is not an unprimeable number, because it can be changed into a prime (27906247) 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, 39006 + ... + 39714.

It is an arithmetic number, because the mean of its divisors is an integer number (811530).

Almost surely, 2^27906240 is an apocalyptic number.

27906240 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 27906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45445680).

27906240 is an abundant number, since it is smaller than the sum of its proper divisors (62985120).

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

27906240 is a wasteful number, since it uses less digits than its factorization.

27906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

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

The square root of 27906240 is about 5282.6357057817. The cubic root of 27906240 is about 303.3195769902.

The spelling of 27906240 in words is "twenty-seven million, nine hundred six thousand, two hundred forty".