27744864 has 192 divisors, whose sum is σ = 91445760. Its totient is φ = 7188480.

The previous prime is 27744863. The next prime is 27744887. The reversal of 27744864 is 46844772.

27744864 = T₂₈₇ + T₂₈₈ + ... + T₅₇₄.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27744863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523462 + ... + 523514.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^27744864 is an apocalyptic number.

27744864 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 27744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

27744864 is an abundant number, since it is smaller than the sum of its proper divisors (63700896).

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

27744864 is a wasteful number, since it uses less digits than its factorization.

27744864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 27744864 is about 5267.3393663215. The cubic root of 27744864 is about 302.7337682564.

It can be divided in two parts, 27744 and 864, that multiplied together give a square (23970816 = 4896²).

The spelling of 27744864 in words is "twenty-seven million, seven hundred forty-four thousand, eight hundred sixty-four".