26400320 has 112 divisors (see below), whose sum is σ = 69787008. Its totient is φ = 9461760.

The previous prime is 26400287. The next prime is 26400347. The reversal of 26400320 is 2300462.

It is a super-2 number, since 2×26400320² = 1393953792204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 125015 + ... + 125225.

Almost surely, 2^26400320 is an apocalyptic number.

26400320 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 26400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34893504).

26400320 is an abundant number, since it is smaller than the sum of its proper divisors (43386688).

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

26400320 is a wasteful number, since it uses less digits than its factorization.

26400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 26400320 is about 5138.1241713295. The cubic root of 26400320 is about 297.7623136611.

Adding to 26400320 its reverse (2300462), we get a palindrome (28700782).

The spelling of 26400320 in words is "twenty-six million, four hundred thousand, three hundred twenty".