26959140 has 144 divisors (see below), whose sum is σ = 90535536. Its totient is φ = 6451200.

The previous prime is 26959129. The next prime is 26959159. The reversal of 26959140 is 4195962.

26959140 is a `hidden beast` number, since 2 + 69 + 591 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5280804 + 21678336 = 2298^2 + 4656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26959095 and 26959104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95800 + ... + 96080.

It is an arithmetic number, because the mean of its divisors is an integer number (628719).

Almost surely, 2^26959140 is an apocalyptic number.

26959140 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 26959140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45267768).

26959140 is an abundant number, since it is smaller than the sum of its proper divisors (63576396).

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

26959140 is a wasteful number, since it uses less digits than its factorization.

26959140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 26959140 is about 5192.2191787327. The cubic root of 26959140 is about 299.8485902632.

The spelling of 26959140 in words is "twenty-six million, nine hundred fifty-nine thousand, one hundred forty".