27977664 has 112 divisors (see below), whose sum is σ = 87050880. Its totient is φ = 7818240.

The previous prime is 27977657. The next prime is 27977669. The reversal of 27977664 is 46677972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27977669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26947 + ... + 27965.

It is an arithmetic number, because the mean of its divisors is an integer number (777240).

Almost surely, 2^27977664 is an apocalyptic number.

27977664 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 27977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43525440).

27977664 is an abundant number, since it is smaller than the sum of its proper divisors (59073216).

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

27977664 is a wasteful number, since it uses less digits than its factorization.

27977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1048 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The square root of 27977664 is about 5289.3916474392. The cubic root of 27977664 is about 303.5781313610.

The spelling of 27977664 in words is "twenty-seven million, nine hundred seventy-seven thousand, six hundred sixty-four".