27964496 has 60 divisors (see below), whose sum is σ = 64311732. Its totient is φ = 11741184.

The previous prime is 27964493. The next prime is 27964513. The reversal of 27964496 is 69446972.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14714896 + 13249600 = 3836^2 + 3640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27964496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27964493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41216 + ... + 41888.

Almost surely, 2^27964496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27964496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32155866).

27964496 is an abundant number, since it is smaller than the sum of its proper divisors (36347236).

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

27964496 is a wasteful number, since it uses less digits than its factorization.

27964496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 27964496 is about 5288.1467453164. The cubic root of 27964496 is about 303.5304964077.

The spelling of 27964496 in words is "twenty-seven million, nine hundred sixty-four thousand, four hundred ninety-six".