26378560 has 112 divisors (see below), whose sum is σ = 71816976. Its totient is φ = 9142272.

The previous prime is 26378557. The next prime is 26378563. The reversal of 26378560 is 6587362.

26378560 = 46² + 47² + ... + 429².

It is an interprime number because it is at equal distance from previous prime (26378557) and next prime (26378563).

It can be written as a sum of positive squares in 8 ways, for example, as 246016 + 26132544 = 496^2 + 5112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26378563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70534 + ... + 70906.

It is an arithmetic number, because the mean of its divisors is an integer number (641223).

Almost surely, 2^26378560 is an apocalyptic number.

26378560 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 26378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35908488).

26378560 is an abundant number, since it is smaller than the sum of its proper divisors (45438416).

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

26378560 is a wasteful number, since it uses less digits than its factorization.

26378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 26378560 is about 5136.0062305258. The cubic root of 26378560 is about 297.6804827223.

The spelling of 26378560 in words is "twenty-six million, three hundred seventy-eight thousand, five hundred sixty".