26142900 has 144 divisors (see below), whose sum is σ = 88327680. Its totient is φ = 5846400.

The previous prime is 26142877. The next prime is 26142901. The reversal of 26142900 is 924162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26142901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 123795 + ... + 124005.

Almost surely, 2^26142900 is an apocalyptic number.

26142900 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 26142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44163840).

26142900 is an abundant number, since it is smaller than the sum of its proper divisors (62184780).

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

26142900 is a wasteful number, since it uses less digits than its factorization.

26142900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 26142900 is about 5113.0128104670. The cubic root of 26142900 is about 296.7913600021.

The spelling of 26142900 in words is "twenty-six million, one hundred forty-two thousand, nine hundred".