26138976 has 96 divisors (see below), whose sum is σ = 73029600. Its totient is φ = 8171520.

The previous prime is 26138951. The next prime is 26138993. The reversal of 26138976 is 67983162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114030 + ... + 114258.

It is an arithmetic number, because the mean of its divisors is an integer number (760725).

Almost surely, 2^26138976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36514800).

26138976 is an abundant number, since it is smaller than the sum of its proper divisors (46890624).

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

26138976 is a wasteful number, since it uses less digits than its factorization.

26138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 26138976 is about 5112.6290692754. The cubic root of 26138976 is about 296.7765099846.

The spelling of 26138976 in words is "twenty-six million, one hundred thirty-eight thousand, nine hundred seventy-six".