26400240 has 120 divisors (see below), whose sum is σ = 91148928. Its totient is φ = 6842880.

The previous prime is 26400233. The next prime is 26400247. The reversal of 26400240 is 4200462.

26400240 is a `hidden beast` number, since 2 + 640 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26400233) and next prime (26400247).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26400247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26145 + ... + 27135.

Almost surely, 2^26400240 is an apocalyptic number.

26400240 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 26400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45574464).

26400240 is an abundant number, since it is smaller than the sum of its proper divisors (64748688).

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

26400240 is a wasteful number, since it uses less digits than its factorization.

26400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 26400240 is about 5138.1163863813. The cubic root of 26400240 is about 297.7620128944.

The spelling of 26400240 in words is "twenty-six million, four hundred thousand, two hundred forty".