26434000 has 40 divisors (see below), whose sum is σ = 63922248. Its totient is φ = 10572800.

The previous prime is 26433983. The next prime is 26434003. The reversal of 26434000 is 43462.

It can be written as a sum of positive squares in 4 ways, for example, as 1752976 + 24681024 = 1324^2 + 4968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26434003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4609 + ... + 8608.

Almost surely, 2^26434000 is an apocalyptic number.

26434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26434000 is an abundant number, since it is smaller than the sum of its proper divisors (37488248).

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

26434000 is a wasteful number, since it uses less digits than its factorization.

26434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13240 (or 13224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 26434000 is about 5141.4005873886. The cubic root of 26434000 is about 297.8888824943. Note that the first 5 decimals are identical.

Adding to 26434000 its reverse (43462), we get a palindrome (26477462).

The spelling of 26434000 in words is "twenty-six million, four hundred thirty-four thousand".