25764480 has 320 divisors, whose sum is σ = 106634880. Its totient is φ = 5806080.

The previous prime is 25764457. The next prime is 25764493. The reversal of 25764480 is 8446752.

25764480 is a `hidden beast` number, since 2 + 5 + 7 + 644 + 8 + 0 = 666.

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 (36).

It is a nialpdrome in base 12.

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 39 ways as a sum of consecutive naturals, for example, 362845 + ... + 362915.

It is an arithmetic number, because the mean of its divisors is an integer number (333234).

Almost surely, 2^25764480 is an apocalyptic number.

25764480 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 25764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440).

25764480 is an abundant number, since it is smaller than the sum of its proper divisors (80870400).

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

25764480 is an equidigital number, since it uses as much as digits as its factorization.

25764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 25764480 is about 5075.8723388202. The cubic root of 25764480 is about 295.3523702782.

It can be divided in two parts, 25764 and 480, that added together give a square (26244 = 162²).

The spelling of 25764480 in words is "twenty-five million, seven hundred sixty-four thousand, four hundred eighty".