26864000 has 128 divisors (see below), whose sum is σ = 70649280. Its totient is φ = 10137600.

The previous prime is 26863987. The next prime is 26864009. The reversal of 26864000 is 46862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26864009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367964 + ... + 368036.

Almost surely, 2^26864000 is an apocalyptic number.

26864000 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 26864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35324640).

26864000 is an abundant number, since it is smaller than the sum of its proper divisors (43785280).

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

26864000 is an equidigital number, since it uses as much as digits as its factorization.

26864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 26864000 is about 5183.0492955402. The cubic root of 26864000 is about 299.4954481969.

Multiplying 26864000 by its sum of digits (26), we get a triangular number (698464000 = T₃₇₃₇₅).

The spelling of 26864000 in words is "twenty-six million, eight hundred sixty-four thousand".