26412000 has 192 divisors, whose sum is σ = 90574848. Its totient is φ = 6720000.

The previous prime is 26411947. The next prime is 26412007. The reversal of 26412000 is 21462.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26412007) 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, 371965 + ... + 372035.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 2^26412000 is an apocalyptic number.

26412000 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 26412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

26412000 is an abundant number, since it is smaller than the sum of its proper divisors (64162848).

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

26412000 is a wasteful number, since it uses less digits than its factorization.

26412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 26412000 is about 5139.2606472138. The cubic root of 26412000 is about 297.8062190766.

Adding to 26412000 its reverse (21462), we get a palindrome (26433462).

The spelling of 26412000 in words is "twenty-six million, four hundred twelve thousand".