26579920 has 40 divisors (see below), whose sum is σ = 62558496. Its totient is φ = 10501248.

The previous prime is 26579909. The next prime is 26579999. The reversal of 26579920 is 2997562.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4639 + ... + 8641.

Almost surely, 2^26579920 is an apocalyptic number.

26579920 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 26579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31279248).

26579920 is an abundant number, since it is smaller than the sum of its proper divisors (35978576).

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

26579920 is a wasteful number, since it uses less digits than its factorization.

26579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 26579920 is about 5155.5717432696. The cubic root of 26579920 is about 298.4360087551.

The spelling of 26579920 in words is "twenty-six million, five hundred seventy-nine thousand, nine hundred twenty".