26587920 has 80 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 7030272.

The previous prime is 26587919. The next prime is 26587921. The reversal of 26587920 is 2978562.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26587919) and next prime (26587921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26587921) by changing a digit.

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, 32962 + ... + 33758.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^26587920 is an apocalyptic number.

26587920 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 26587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

26587920 is an abundant number, since it is smaller than the sum of its proper divisors (56531760).

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

26587920 is a wasteful number, since it uses less digits than its factorization.

26587920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 26587920 is about 5156.3475445319. The cubic root of 26587920 is about 298.4659467507.

The spelling of 26587920 in words is "twenty-six million, five hundred eighty-seven thousand, nine hundred twenty".