25858560 has 320 divisors, whose sum is σ = 104493312. Its totient is φ = 5308416.

The previous prime is 25858537. The next prime is 25858561. The reversal of 25858560 is 6585852.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25858561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698862 + ... + 698898.

Almost surely, 2^25858560 is an apocalyptic number.

25858560 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 25858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656).

25858560 is an abundant number, since it is smaller than the sum of its proper divisors (78634752).

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

25858560 is a wasteful number, since it uses less digits than its factorization.

25858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 25858560 is about 5085.1312667423. The cubic root of 25858560 is about 295.7114304776.

The spelling of 25858560 in words is "twenty-five million, eight hundred fifty-eight thousand, five hundred sixty".