26787240 has 128 divisors (see below), whose sum is σ = 94608000. Its totient is φ = 6718464.

The previous prime is 26787217. The next prime is 26787251. The reversal of 26787240 is 4278762.

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 = 26787195 and 26787204.

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 31 ways as a sum of consecutive naturals, for example, 17631 + ... + 19089.

It is an arithmetic number, because the mean of its divisors is an integer number (739125).

Almost surely, 2^26787240 is an apocalyptic number.

26787240 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 26787240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47304000).

26787240 is an abundant number, since it is smaller than the sum of its proper divisors (67820760).

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

26787240 is a wasteful number, since it uses less digits than its factorization.

26787240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 26787240 is about 5175.6390909722. The cubic root of 26787240 is about 299.2099210776.

The spelling of 26787240 in words is "twenty-six million, seven hundred eighty-seven thousand, two hundred forty".