26401000 has 64 divisors (see below), whose sum is σ = 65454480. Its totient is φ = 9932800.

The previous prime is 26400989. The next prime is 26401003. The reversal of 26401000 is 10462.

It can be written as a sum of positive squares in 8 ways, for example, as 248004 + 26152996 = 498^2 + 5114^2 .

It is not an unprimeable number, because it can be changed into a prime (26401003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16224 + ... + 17776.

Almost surely, 2^26401000 is an apocalyptic number.

26401000 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 26401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32727240).

26401000 is an abundant number, since it is smaller than the sum of its proper divisors (39053480).

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

26401000 is a wasteful number, since it uses less digits than its factorization.

26401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 26401000 is about 5138.1903429126. The cubic root of 26401000 is about 297.7648701533.

Adding to 26401000 its reverse (10462), we get a palindrome (26411462).

The spelling of 26401000 in words is "twenty-six million, four hundred one thousand".