25579920 has 80 divisors (see below), whose sum is σ = 80834112. Its totient is φ = 6689280.

The previous prime is 25579919. The next prime is 25579921. The reversal of 25579920 is 2997552.

It is an interprime number because it is at equal distance from previous prime (25579919) and next prime (25579921).

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

It is not an unprimeable number, because it can be changed into a prime (25579921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11715 + ... + 13725.

Almost surely, 2^25579920 is an apocalyptic number.

25579920 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 25579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40417056).

25579920 is an abundant number, since it is smaller than the sum of its proper divisors (55254192).

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

25579920 is a wasteful number, since it uses less digits than its factorization.

25579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 25579920 is about 5057.6595377704. The cubic root of 25579920 is about 294.6454420762.

The spelling of 25579920 in words is "twenty-five million, five hundred seventy-nine thousand, nine hundred twenty".