27864564 has 192 divisors, whose sum is σ = 90316800. Its totient is φ = 6469632.

The previous prime is 27864553. The next prime is 27864601. The reversal of 27864564 is 46546872.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (322560) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

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, 352677 + ... + 352755.

It is an arithmetic number, because the mean of its divisors is an integer number (470400).

Almost surely, 2^27864564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27864564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

27864564 is an abundant number, since it is smaller than the sum of its proper divisors (62452236).

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

27864564 is a wasteful number, since it uses less digits than its factorization.

27864564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 27864564 is about 5278.6896101211. The cubic root of 27864564 is about 303.1685063001.

The spelling of 27864564 in words is "twenty-seven million, eight hundred sixty-four thousand, five hundred sixty-four".