26964992 has 44 divisors (see below), whose sum is σ = 57111300. Its totient is φ = 12681216.

The previous prime is 26964929. The next prime is 26964997. The reversal of 26964992 is 29946962.

It can be written as a sum of positive squares in 2 ways, for example, as 15241216 + 11723776 = 3904^2 + 3424^2 .

It is a super-2 number, since 2×26964992² = 1454221587120128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26964997) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16634 + ... + 18182.

Almost surely, 2^26964992 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 26964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28555650).

26964992 is an abundant number, since it is smaller than the sum of its proper divisors (30146308).

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

26964992 is a wasteful number, since it uses less digits than its factorization.

26964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1568 counting only the distinct ones).

The product of its digits is 419904, while the sum is 47.

The square root of 26964992 is about 5192.7826836870. The cubic root of 26964992 is about 299.8702846619.

The spelling of 26964992 in words is "twenty-six million, nine hundred sixty-four thousand, nine hundred ninety-two".