26346900 has 72 divisors (see below), whose sum is σ = 78717184. Its totient is φ = 6796800.

The previous prime is 26346899. The next prime is 26346907. The reversal of 26346900 is 964362.

It is a super-2 number, since 2×26346900² = 1388318279220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26346907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7884 + ... + 10716.

Almost surely, 2^26346900 is an apocalyptic number.

26346900 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 26346900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39358592).

26346900 is an abundant number, since it is smaller than the sum of its proper divisors (52370284).

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

26346900 is a wasteful number, since it uses less digits than its factorization.

26346900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 26346900 is about 5132.9231437846. The cubic root of 26346900 is about 297.5613413046.

The spelling of 26346900 in words is "twenty-six million, three hundred forty-six thousand, nine hundred".