26364000 has 192 divisors, whose sum is σ = 93562560. Its totient is φ = 6489600.

The previous prime is 26363971. The next prime is 26364011. The reversal of 26364000 is 46362.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2027994 + ... + 2028006.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^26364000 is an apocalyptic number.

26364000 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 26364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

26364000 is an abundant number, since it is smaller than the sum of its proper divisors (67198560).

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

26364000 is an equidigital number, since it uses as much as digits as its factorization.

26364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 26364000 is about 5134.5885911142. The cubic root of 26364000 is about 297.6257030639.

The spelling of 26364000 in words is "twenty-six million, three hundred sixty-four thousand".