27918540 has 192 divisors, whose sum is σ = 96808320. Its totient is φ = 6635520.

The previous prime is 27918523. The next prime is 27918557. The reversal of 27918540 is 4581972.

27918540 is a `hidden beast` number, since 27 + 91 + 8 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (27918523) and next prime (27918557).

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 = 27918495 and 27918504.

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, 287772 + ... + 287868.

It is an arithmetic number, because the mean of its divisors is an integer number (504210).

Almost surely, 2^27918540 is an apocalyptic number.

27918540 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 27918540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48404160).

27918540 is an abundant number, since it is smaller than the sum of its proper divisors (68889780).

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

27918540 is a wasteful number, since it uses less digits than its factorization.

27918540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 27918540 is about 5283.7997691056. The cubic root of 27918540 is about 303.3641343222.

The spelling of 27918540 in words is "twenty-seven million, nine hundred eighteen thousand, five hundred forty".