26871264 has 120 divisors (see below), whose sum is σ = 90378288. Its totient is φ = 7672320.

The previous prime is 26871241. The next prime is 26871281. The reversal of 26871264 is 46217862.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17404 + ... + 18884.

Almost surely, 2^26871264 is an apocalyptic number.

26871264 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 26871264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45189144).

26871264 is an abundant number, since it is smaller than the sum of its proper divisors (63507024).

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

26871264 is a wasteful number, since it uses less digits than its factorization.

26871264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1493 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 26871264 is about 5183.7499939715. The cubic root of 26871264 is about 299.5224401922.

The spelling of 26871264 in words is "twenty-six million, eight hundred seventy-one thousand, two hundred sixty-four".