26138112 has 320 divisors, whose sum is σ = 98993664. Its totient is φ = 5898240.

The previous prime is 26138089. The next prime is 26138113. The reversal of 26138112 is 21183162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26138113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537528 + ... + 1537544.

Almost surely, 2^26138112 is an apocalyptic number.

26138112 is a gapful number since it is divisible by the number (22) 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 26138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

26138112 is an abundant number, since it is smaller than the sum of its proper divisors (72855552).

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

26138112 is a wasteful number, since it uses less digits than its factorization.

26138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 26138112 is about 5112.5445719328. The cubic root of 26138112 is about 296.7732400563.

The spelling of 26138112 in words is "twenty-six million, one hundred thirty-eight thousand, one hundred twelve".