25468360 has 128 divisors (see below), whose sum is σ = 66355200. Its totient is φ = 8743680.

The previous prime is 25468349. The next prime is 25468361. The reversal of 25468360 is 6386452.

25468360 = 713² + 714² + ... + 759².

It is a happy number.

It is a super-2 number, since 2×25468360² = 1297274722179200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25468361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541857 + ... + 541903.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 2^25468360 is an apocalyptic number.

25468360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25468360 is the 2914-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25468360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33177600).

25468360 is an abundant number, since it is smaller than the sum of its proper divisors (40886840).

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

25468360 is a wasteful number, since it uses less digits than its factorization.

25468360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 25468360 is about 5046.6186699611. The cubic root of 25468360 is about 294.2164786920.

The spelling of 25468360 in words is "twenty-five million, four hundred sixty-eight thousand, three hundred sixty".