26906000 has 80 divisors (see below), whose sum is σ = 71031168. Its totient is φ = 9776000.

The previous prime is 26905999. The next prime is 26906017. The reversal of 26906000 is 60962.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21389 + ... + 22611.

Almost surely, 2^26906000 is an apocalyptic number.

26906000 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 26906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35515584).

26906000 is an abundant number, since it is smaller than the sum of its proper divisors (44125168).

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

26906000 is a wasteful number, since it uses less digits than its factorization.

26906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 26906000 is about 5187.0993821210. The cubic root of 26906000 is about 299.6514470448.

Adding to 26906000 its reverse (60962), we get a palindrome (26966962).

The spelling of 26906000 in words is "twenty-six million, nine hundred six thousand".