26752440 has 128 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 5982720.

The previous prime is 26752433. The next prime is 26752469. The reversal of 26752440 is 4425762.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26752398 and 26752407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16381 + ... + 17939.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^26752440 is an apocalyptic number.

26752440 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 26752440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

26752440 is an abundant number, since it is smaller than the sum of its proper divisors (67596360).

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

26752440 is a wasteful number, since it uses less digits than its factorization.

26752440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 26752440 is about 5172.2760947188. The cubic root of 26752440 is about 299.0802944648.

It can be divided in two parts, 2675 and 2440, that added together give a palindrome (5115).

The spelling of 26752440 in words is "twenty-six million, seven hundred fifty-two thousand, four hundred forty".