26764000 has 48 divisors (see below), whose sum is σ = 65768976. Its totient is φ = 10704000.

The previous prime is 26763983. The next prime is 26764007. The reversal of 26764000 is 46762.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26764007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655 + ... + 7345.

It is an arithmetic number, because the mean of its divisors is an integer number (1370187).

Almost surely, 2^26764000 is an apocalyptic number.

26764000 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 26764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32884488).

26764000 is an abundant number, since it is smaller than the sum of its proper divisors (39004976).

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

26764000 is an equidigital number, since it uses as much as digits as its factorization.

26764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 26764000 is about 5173.3934704408. The cubic root of 26764000 is about 299.1233668018.

The spelling of 26764000 in words is "twenty-six million, seven hundred sixty-four thousand".