25117920 has 72 divisors (see below), whose sum is σ = 85719816. Its totient is φ = 6697728.

The previous prime is 25117907. The next prime is 25117921. The reversal of 25117920 is 2971152.

25117920 = 105² + 106² + ... + 424².

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25117921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7282 + ... + 10161.

It is an arithmetic number, because the mean of its divisors is an integer number (1190553).

Almost surely, 2^25117920 is an apocalyptic number.

25117920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25117920 is an abundant number, since it is smaller than the sum of its proper divisors (60601896).

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

25117920 is a wasteful number, since it uses less digits than its factorization.

25117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17464 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 25117920 is about 5011.7781275711. The cubic root of 25117920 is about 292.8607864480.

The spelling of 25117920 in words is "twenty-five million, one hundred seventeen thousand, nine hundred twenty".