27862340 has 48 divisors (see below), whose sum is σ = 64592640. Its totient is φ = 10010880.

The previous prime is 27862333. The next prime is 27862343. The reversal of 27862340 is 4326872.

It is a junction number, because it is equal to n+sod(n) for n = 27862297 and 27862306.

It is not an unprimeable number, because it can be changed into a prime (27862343) 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, 18869 + ... + 20291.

It is an arithmetic number, because the mean of its divisors is an integer number (1345680).

Almost surely, 2^27862340 is an apocalyptic number.

27862340 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 27862340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32296320).

27862340 is an abundant number, since it is smaller than the sum of its proper divisors (36730300).

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

27862340 is a wasteful number, since it uses less digits than its factorization.

27862340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 27862340 is about 5278.4789475757. The cubic root of 27862340 is about 303.1604403243.

The spelling of 27862340 in words is "twenty-seven million, eight hundred sixty-two thousand, three hundred forty".