26961800 has 48 divisors (see below), whose sum is σ = 63293940. Its totient is φ = 10680320.

The previous prime is 26961799. The next prime is 26961821. The reversal of 26961800 is 816962.

It can be written as a sum of positive squares in 6 ways, for example, as 2735716 + 24226084 = 1654^2 + 4922^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22004 + ... + 23196.

Almost surely, 2^26961800 is an apocalyptic number.

26961800 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 26961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31646970).

26961800 is an abundant number, since it is smaller than the sum of its proper divisors (36332140).

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

26961800 is a wasteful number, since it uses less digits than its factorization.

26961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 26961800 is about 5192.4753249293. The cubic root of 26961800 is about 299.8584517427.

The spelling of 26961800 in words is "twenty-six million, nine hundred sixty-one thousand, eight hundred".