27713664 has 160 divisors (see below), whose sum is σ = 90343440. Its totient is φ = 8398080.

The previous prime is 27713641. The next prime is 27713669. The reversal of 27713664 is 46631772.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (42336) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (27713669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519419 + ... + 2519429.

Almost surely, 2^27713664 is an apocalyptic number.

27713664 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 27713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45171720).

27713664 is an abundant number, since it is smaller than the sum of its proper divisors (62629776).

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

27713664 is an frugal number, since it uses more digits than its factorization.

27713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 16 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 27713664 is about 5264.3768862041. The cubic root of 27713664 is about 302.6202477108.

The spelling of 27713664 in words is "twenty-seven million, seven hundred thirteen thousand, six hundred sixty-four".