26672300 has 36 divisors (see below), whose sum is σ = 58433760. Its totient is φ = 10566720.

The previous prime is 26672297. The next prime is 26672309. The reversal of 26672300 is 327662.

It is a super-2 number, since 2×26672300² = 1422823174580000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26672300.

It is not an unprimeable number, because it can be changed into a prime (26672309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9677 + ... + 12123.

It is an arithmetic number, because the mean of its divisors is an integer number (1623160).

Almost surely, 2^26672300 is an apocalyptic number.

26672300 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 26672300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216880).

26672300 is an abundant number, since it is smaller than the sum of its proper divisors (31761460).

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

26672300 is a wasteful number, since it uses less digits than its factorization.

26672300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 26672300 is about 5164.5232112945. The cubic root of 26672300 is about 298.7813526615.

Adding to 26672300 its reverse (327662), we get a palindrome (26999962).

The spelling of 26672300 in words is "twenty-six million, six hundred seventy-two thousand, three hundred".