26032140 has 72 divisors (see below), whose sum is σ = 81703440. Its totient is φ = 6701184.

The previous prime is 26032129. The next prime is 26032141. The reversal of 26032140 is 4123062.

It is a happy number.

26032140 is a `hidden beast` number, since 2 + 603 + 21 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26032141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2727 + ... + 7713.

It is an arithmetic number, because the mean of its divisors is an integer number (1134770).

Almost surely, 2^26032140 is an apocalyptic number.

26032140 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 26032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40851720).

26032140 is an abundant number, since it is smaller than the sum of its proper divisors (55671300).

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

26032140 is a wasteful number, since it uses less digits than its factorization.

26032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5026 counting only the distinct ones).

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

The square root of 26032140 is about 5102.1701265246. The cubic root of 26032140 is about 296.3716266064.

It can be divided in two parts, 260 and 32140, that added together give a square (32400 = 180²).

The spelling of 26032140 in words is "twenty-six million, thirty-two thousand, one hundred forty".