26834960 has 40 divisors (see below), whose sum is σ = 63578520. Its totient is φ = 10529792.

The previous prime is 26834939. The next prime is 26834971. The reversal of 26834960 is 6943862.

It can be written as a sum of positive squares in 4 ways, for example, as 7929856 + 18905104 = 2816^2 + 4348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1076 + ... + 7404.

It is an arithmetic number, because the mean of its divisors is an integer number (1589463).

Almost surely, 2^26834960 is an apocalyptic number.

26834960 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 26834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31789260).

26834960 is an abundant number, since it is smaller than the sum of its proper divisors (36743560).

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

26834960 is a wasteful number, since it uses less digits than its factorization.

26834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 26834960 is about 5180.2470983535. The cubic root of 26834960 is about 299.3874910344.

The spelling of 26834960 in words is "twenty-six million, eight hundred thirty-four thousand, nine hundred sixty".