26232800 has 108 divisors (see below), whose sum is σ = 70651728. Its totient is φ = 9504000.

The previous prime is 26232799. The next prime is 26232803. The reversal of 26232800 is 823262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26232803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96665 + ... + 96935.

Almost surely, 2^26232800 is an apocalyptic number.

26232800 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 26232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35325864).

26232800 is an abundant number, since it is smaller than the sum of its proper divisors (44418928).

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

26232800 is a wasteful number, since it uses less digits than its factorization.

26232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 26232800 is about 5121.7965598020. The cubic root of 26232800 is about 297.1311720539.

The spelling of 26232800 in words is "twenty-six million, two hundred thirty-two thousand, eight hundred".