27819864 has 48 divisors (see below), whose sum is σ = 76957920. Its totient is φ = 9074880.

The previous prime is 27819863. The next prime is 27819889. The reversal of 27819864 is 46891872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27819863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727 + ... + 7494.

It is an arithmetic number, because the mean of its divisors is an integer number (1603290).

Almost surely, 2^27819864 is an apocalyptic number.

27819864 is a gapful number since it is divisible by the number (24) 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 27819864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38478960).

27819864 is an abundant number, since it is smaller than the sum of its proper divisors (49138056).

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

27819864 is a wasteful number, since it uses less digits than its factorization.

27819864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8273 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 27819864 is about 5274.4539053821. The cubic root of 27819864 is about 303.0063064400.

The spelling of 27819864 in words is "twenty-seven million, eight hundred nineteen thousand, eight hundred sixty-four".