26058240 has 320 divisors, whose sum is σ = 103118400. Its totient is φ = 6193152.

The previous prime is 26058239. The next prime is 26058251. The reversal of 26058240 is 4285062.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898546 + ... + 898574.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 2^26058240 is an apocalyptic number.

26058240 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 26058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

26058240 is an abundant number, since it is smaller than the sum of its proper divisors (77060160).

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

26058240 is a wasteful number, since it uses less digits than its factorization.

26058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26058240 is about 5104.7272209198. The cubic root of 26058240 is about 296.4706415900.

26058240 divided by its product of nonzero digits (3840) gives a triangular number (6786 = T₁₁₆).

The spelling of 26058240 in words is "twenty-six million, fifty-eight thousand, two hundred forty".