25856064 has 112 divisors (see below), whose sum is σ = 81930240. Its totient is φ = 7948800.

The previous prime is 25856059. The next prime is 25856111. The reversal of 25856064 is 46065852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21889 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 2^25856064 is an apocalyptic number.

25856064 is a gapful number since it is divisible by the number (24) 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 25856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

25856064 is an abundant number, since it is smaller than the sum of its proper divisors (56074176).

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

25856064 is a wasteful number, since it uses less digits than its factorization.

25856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 25856064 is about 5084.8858394265. The cubic root of 25856064 is about 295.7019156466.

It can be divided in two parts, 2585 and 6064, that added together give a square (8649 = 93²).

The spelling of 25856064 in words is "twenty-five million, eight hundred fifty-six thousand, sixty-four".