26000640 has 216 divisors, whose sum is σ = 93905448. Its totient is φ = 6635520.

The previous prime is 26000627. The next prime is 26000641. The reversal of 26000640 is 4600062.

26000640 is a `hidden beast` number, since 2 + 600 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 24443136 = 1248^2 + 4944^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26000641) 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, 426210 + ... + 426270.

Almost surely, 2^26000640 is an apocalyptic number.

26000640 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 26000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46952724).

26000640 is an abundant number, since it is smaller than the sum of its proper divisors (67904808).

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

26000640 is a wasteful number, since it uses less digits than its factorization.

26000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26000640 is about 5099.0822703698. The cubic root of 26000640 is about 296.2520375868.

The spelling of 26000640 in words is "twenty-six million, six hundred forty", and thus it is an aban number.