26451040 has 192 divisors, whose sum is σ = 82736640. Its totient is φ = 7741440.

The previous prime is 26451037. The next prime is 26451053. The reversal of 26451040 is 4015462.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234024 + ... + 234136.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^26451040 is an apocalyptic number.

26451040 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 26451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

26451040 is an abundant number, since it is smaller than the sum of its proper divisors (56285600).

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

26451040 is a wasteful number, since it uses less digits than its factorization.

26451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 26451040 is about 5143.0574564164. The cubic root of 26451040 is about 297.9528775541.

The spelling of 26451040 in words is "twenty-six million, four hundred fifty-one thousand, forty".