27876240 has 120 divisors (see below), whose sum is σ = 107011008. Its totient is φ = 6370560.

The previous prime is 27876227. The next prime is 27876241. The reversal of 27876240 is 4267872.

27876240 is a `hidden beast` number, since 27 + 8 + 7 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27876195 and 27876204.

It is not an unprimeable number, because it can be changed into a prime (27876241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275 + ... + 7805.

Almost surely, 2^27876240 is an apocalyptic number.

27876240 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 27876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53505504).

27876240 is an abundant number, since it is smaller than the sum of its proper divisors (79134768).

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

27876240 is a wasteful number, since it uses less digits than its factorization.

27876240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27876240 is about 5279.7954505833. The cubic root of 27876240 is about 303.2108456333.

The spelling of 27876240 in words is "twenty-seven million, eight hundred seventy-six thousand, two hundred forty".