27779664 has 60 divisors (see below), whose sum is σ = 78897728. Its totient is φ = 8416320.

The previous prime is 27779663. The next prime is 27779669. The reversal of 27779664 is 46697772.

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 (27779663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3417 + ... + 8199.

Almost surely, 2^27779664 is an apocalyptic number.

27779664 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 27779664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39448864).

27779664 is an abundant number, since it is smaller than the sum of its proper divisors (51118064).

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

27779664 is a wasteful number, since it uses less digits than its factorization.

27779664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4799 counting only the distinct ones).

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

The square root of 27779664 is about 5270.6417066615. The cubic root of 27779664 is about 302.8602869700.

The spelling of 27779664 in words is "twenty-seven million, seven hundred seventy-nine thousand, six hundred sixty-four".