26830368 has 72 divisors (see below), whose sum is σ = 77641200. Its totient is φ = 8786304.

The previous prime is 26830339. The next prime is 26830399. The reversal of 26830368 is 86303862.

26830368 is a `hidden beast` number, since 268 + 30 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16203 + ... + 17781.

It is an arithmetic number, because the mean of its divisors is an integer number (1078350).

Almost surely, 2^26830368 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 26830368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38820600).

26830368 is an abundant number, since it is smaller than the sum of its proper divisors (50810832).

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

26830368 is a wasteful number, since it uses less digits than its factorization.

26830368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 26830368 is about 5179.8038572904. The cubic root of 26830368 is about 299.3704129916.

It can be divided in two parts, 2683036 and 8, that added together give a square (2683044 = 1638²).

The spelling of 26830368 in words is "twenty-six million, eight hundred thirty thousand, three hundred sixty-eight".