25223680 has 80 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 9859072.

The previous prime is 25223669. The next prime is 25223687. The reversal of 25223680 is 8632252.

25223680 = T₄₆₄ + T₄₆₅ + ... + T₆₃₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (25223687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150957 + ... + 151123.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 2^25223680 is an apocalyptic number.

25223680 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 25223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

25223680 is an abundant number, since it is smaller than the sum of its proper divisors (36647360).

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

25223680 is an equidigital number, since it uses as much as digits as its factorization.

25223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 25223680 is about 5022.3181898402. The cubic root of 25223680 is about 293.2712448939.

It can be divided in two parts, 252 and 23680, that added together give a palindrome (23932).

The spelling of 25223680 in words is "twenty-five million, two hundred twenty-three thousand, six hundred eighty".