27264006 has 128 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 6907680.

The previous prime is 27263983. The next prime is 27264007. The reversal of 27264006 is 60046272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27264007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328441 + ... + 328523.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^27264006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27264006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

27264006 is an abundant number, since it is smaller than the sum of its proper divisors (50150394).

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

27264006 is a wasteful number, since it uses less digits than its factorization.

27264006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 27264006 is about 5221.4946136140. The cubic root of 27264006 is about 300.9746302242.

The spelling of 27264006 in words is "twenty-seven million, two hundred sixty-four thousand, six".