26973000 has 224 divisors, whose sum is σ = 97189560. Its totient is φ = 6998400.

The previous prime is 26972983. The next prime is 26973029. The reversal of 26973000 is 37962.

It can be written as a sum of positive squares in 4 ways, for example, as 13883076 + 13089924 = 3726^2 + 3618^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 728982 + ... + 729018.

Almost surely, 2^26973000 is an apocalyptic number.

26973000 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 26973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48594780).

26973000 is an abundant number, since it is smaller than the sum of its proper divisors (70216560).

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

26973000 is an equidigital number, since it uses as much as digits as its factorization.

26973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 26973000 is about 5193.5536966513. The cubic root of 26973000 is about 299.8999666481.

The spelling of 26973000 in words is "twenty-six million, nine hundred seventy-three thousand".