26240760 has 320 divisors, whose sum is σ = 109771200. Its totient is φ = 5474304.

The previous prime is 26240759. The next prime is 26240761. The reversal of 26240760 is 6704262.

It is an interprime number because it is at equal distance from previous prime (26240759) and next prime (26240761).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26240761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294796 + ... + 294884.

It is an arithmetic number, because the mean of its divisors is an integer number (343035).

Almost surely, 2^26240760 is an apocalyptic number.

26240760 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 26240760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

26240760 is an abundant number, since it is smaller than the sum of its proper divisors (83530440).

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

26240760 is a wasteful number, since it uses less digits than its factorization.

26240760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26240760 is about 5122.5735719460. The cubic root of 26240760 is about 297.1612225370.

It can be divided in two parts, 26240 and 760, that added together give a cube (27000 = 30³).

The spelling of 26240760 in words is "twenty-six million, two hundred forty thousand, seven hundred sixty".