25105920 has 160 divisors (see below), whose sum is σ = 91922688. Its totient is φ = 5726208.

The previous prime is 25105919. The next prime is 25105961. The reversal of 25105920 is 2950152.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 53527 + ... + 53993.

Almost surely, 2^25105920 is an apocalyptic number.

25105920 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 25105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45961344).

25105920 is an abundant number, since it is smaller than the sum of its proper divisors (66816768).

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

25105920 is an equidigital number, since it uses as much as digits as its factorization.

25105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 25105920 is about 5010.5808046573. The cubic root of 25105920 is about 292.8141412741.

The spelling of 25105920 in words is "twenty-five million, one hundred five thousand, nine hundred twenty".