26713000 has 32 divisors (see below), whose sum is σ = 62510760. Its totient is φ = 10684800.

The previous prime is 26712977. The next prime is 26713009. The reversal of 26713000 is 31762.

It can be written as a sum of positive squares in 4 ways, for example, as 16176484 + 10536516 = 4022^2 + 3246^2 .

It is not an unprimeable number, because it can be changed into a prime (26713009) 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, 12357 + ... + 14356.

Almost surely, 2^26713000 is an apocalyptic number.

26713000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26713000 is an abundant number, since it is smaller than the sum of its proper divisors (35797760).

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

26713000 is a wasteful number, since it uses less digits than its factorization.

26713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26734 (or 26720 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 26713000 is about 5168.4620536481. The cubic root of 26713000 is about 298.9332483360.

Adding to 26713000 its reverse (31762), we get a palindrome (26744762).

It can be divided in two parts, 2671 and 3000, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 26713000 in words is "twenty-six million, seven hundred thirteen thousand".