26361800 has 48 divisors (see below), whose sum is σ = 62021700. Its totient is φ = 10419200.

The previous prime is 26361773. The next prime is 26361809. The reversal of 26361800 is 816362.

It can be written as a sum of positive squares in 6 ways, for example, as 4813636 + 21548164 = 2194^2 + 4642^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26361800.

It is not an unprimeable number, because it can be changed into a prime (26361809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17060 + ... + 18540.

Almost surely, 2^26361800 is an apocalyptic number.

26361800 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 26361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31010850).

26361800 is an abundant number, since it is smaller than the sum of its proper divisors (35659900).

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

26361800 is a wasteful number, since it uses less digits than its factorization.

26361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 26361800 is about 5134.3743533171. The cubic root of 26361800 is about 297.6174241638.

Multiplying 26361800 by its sum of digits (26), we get a triangular number (685406800 = T₃₇₀₂₄).

The spelling of 26361800 in words is "twenty-six million, three hundred sixty-one thousand, eight hundred".