25354560 has 280 divisors, whose sum is σ = 102449376. Its totient is φ = 5268480.

The previous prime is 25354547. The next prime is 25354577. The reversal of 25354560 is 6545352.

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 2304955 + ... + 2304965.

Almost surely, 2^25354560 is an apocalyptic number.

25354560 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 25354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51224688).

25354560 is an abundant number, since it is smaller than the sum of its proper divisors (77094816).

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

25354560 is an equidigital number, since it uses as much as digits as its factorization.

25354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 25354560 is about 5035.3311708367. The cubic root of 25354560 is about 293.7776095974. Note that the first 3 decimals are identical.

The spelling of 25354560 in words is "twenty-five million, three hundred fifty-four thousand, five hundred sixty".