26271840 has 144 divisors (see below), whose sum is σ = 96353712. Its totient is φ = 5999616.

The previous prime is 26271827. The next prime is 26271841. The reversal of 26271840 is 4817262.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26271798 and 26271807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26271841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22962 + ... + 24078.

It is an arithmetic number, because the mean of its divisors is an integer number (669123).

Almost surely, 2^26271840 is an apocalyptic number.

26271840 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 26271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48176856).

26271840 is an abundant number, since it is smaller than the sum of its proper divisors (70081872).

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

26271840 is a wasteful number, since it uses less digits than its factorization.

26271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 26271840 is about 5125.6063055994. The cubic root of 26271840 is about 297.2784971747.

The spelling of 26271840 in words is "twenty-six million, two hundred seventy-one thousand, eight hundred forty".