25152960 has 224 divisors, whose sum is σ = 96560640. Its totient is φ = 5419008.

The previous prime is 25152937. The next prime is 25152971. The reversal of 25152960 is 6925152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127582 + ... + 127778.

Almost surely, 2^25152960 is an apocalyptic number.

25152960 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 25152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

25152960 is an abundant number, since it is smaller than the sum of its proper divisors (71407680).

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

25152960 is a wasteful number, since it uses less digits than its factorization.

25152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 25152960 is about 5015.2726745412. The cubic root of 25152960 is about 292.9969053865.

The spelling of 25152960 in words is "twenty-five million, one hundred fifty-two thousand, nine hundred sixty".