26832960 has 336 divisors, whose sum is σ = 116019072. Its totient is φ = 5575680.

The previous prime is 26832947. The next prime is 26832991. The reversal of 26832960 is 6923862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2439355 + ... + 2439365.

Almost surely, 2^26832960 is an apocalyptic number.

26832960 is a gapful number since it is divisible by the number (20) 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 26832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58009536).

26832960 is an abundant number, since it is smaller than the sum of its proper divisors (89186112).

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

26832960 is a wasteful number, since it uses less digits than its factorization.

26832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26832960 is about 5180.0540537720. The cubic root of 26832960 is about 299.3800531019.

The spelling of 26832960 in words is "twenty-six million, eight hundred thirty-two thousand, nine hundred sixty".