25656480 has 96 divisors (see below), whose sum is σ = 89812800. Its totient is φ = 6840576.

The previous prime is 25656443. The next prime is 25656487. The reversal of 25656480 is 8465652.

25656480 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×25656480³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25656487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^25656480 is an apocalyptic number.

25656480 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 25656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44906400).

25656480 is an abundant number, since it is smaller than the sum of its proper divisors (64156320).

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

25656480 is a wasteful number, since it uses less digits than its factorization.

25656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5949 counting only the distinct ones).

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

The square root of 25656480 is about 5065.2226012289. Note that the first 3 decimals coincide. The cubic root of 25656480 is about 294.9391045424.

It can be divided in two parts, 2565 and 6480, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 25656480 in words is "twenty-five million, six hundred fifty-six thousand, four hundred eighty".