25345920 has 128 divisors (see below), whose sum is σ = 82938240. Its totient is φ = 6580224.

The previous prime is 25345889. The next prime is 25345933. The reversal of 25345920 is 2954352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 82407 + ... + 82713.

It is an arithmetic number, because the mean of its divisors is an integer number (647955).

Almost surely, 2^25345920 is an apocalyptic number.

25345920 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 25345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41469120).

25345920 is an abundant number, since it is smaller than the sum of its proper divisors (57592320).

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

25345920 is a wasteful number, since it uses less digits than its factorization.

25345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 25345920 is about 5034.4731601231. The cubic root of 25345920 is about 293.7442358911.

The spelling of 25345920 in words is "twenty-five million, three hundred forty-five thousand, nine hundred twenty".