26006040 has 192 divisors, whose sum is σ = 90979200. Its totient is φ = 6429696.

The previous prime is 26006033. The next prime is 26006063. The reversal of 26006040 is 4060062.

26006040 is a `hidden beast` number, since 2 + 60 + 0 + 604 + 0 = 666.

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

It is a congruent number.

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, 490654 + ... + 490706.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 2^26006040 is an apocalyptic number.

26006040 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 26006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

26006040 is an abundant number, since it is smaller than the sum of its proper divisors (64973160).

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

26006040 is a wasteful number, since it uses less digits than its factorization.

26006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

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

The square root of 26006040 is about 5099.6117499276. The cubic root of 26006040 is about 296.2725454187.

It can be divided in two parts, 260060 and 40, that added together give a square (260100 = 510²).

The spelling of 26006040 in words is "twenty-six million, six thousand, forty".