26412320 has 96 divisors (see below), whose sum is σ = 69854400. Its totient is φ = 9354240.

The previous prime is 26412313. The next prime is 26412371. The reversal of 26412320 is 2321462.

It is a super-2 number, since 2×26412320² = 1395221295564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 26412292 and 26412301.

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, 75506 + ... + 75854.

It is an arithmetic number, because the mean of its divisors is an integer number (727650).

Almost surely, 2^26412320 is an apocalyptic number.

26412320 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 26412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927200).

26412320 is an abundant number, since it is smaller than the sum of its proper divisors (43442080).

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

26412320 is a wasteful number, since it uses less digits than its factorization.

26412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26412320 is about 5139.2917800024. The cubic root of 26412320 is about 297.8074217825.

Adding to 26412320 its reverse (2321462), we get a palindrome (28733782).

The spelling of 26412320 in words is "twenty-six million, four hundred twelve thousand, three hundred twenty".