26078640 has 240 divisors, whose sum is σ = 99779328. Its totient is φ = 5515776.

The previous prime is 26078623. The next prime is 26078651. The reversal of 26078640 is 4687062.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×26078640³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606459 + ... + 606501.

Almost surely, 2^26078640 is an apocalyptic number.

26078640 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 26078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49889664).

26078640 is an abundant number, since it is smaller than the sum of its proper divisors (73700688).

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

26078640 is a wasteful number, since it uses less digits than its factorization.

26078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 26078640 is about 5106.7249779090. The cubic root of 26078640 is about 296.5479865875.

The spelling of 26078640 in words is "twenty-six million, seventy-eight thousand, six hundred forty".