26528040 has 384 divisors, whose sum is σ = 114912000. Its totient is φ = 5322240.

The previous prime is 26528027. The next prime is 26528063. The reversal of 26528040 is 4082562.

26528040 is a `hidden beast` number, since 2 + 652 + 8 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26527995 and 26528013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914746 + ... + 914774.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 2^26528040 is an apocalyptic number.

26528040 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 26528040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

26528040 is an abundant number, since it is smaller than the sum of its proper divisors (88383960).

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

26528040 is a wasteful number, since it uses less digits than its factorization.

26528040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

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

The square root of 26528040 is about 5150.5378359934. The cubic root of 26528040 is about 298.2417149113.

The spelling of 26528040 in words is "twenty-six million, five hundred twenty-eight thousand, forty".