25618400 has 72 divisors (see below), whose sum is σ = 64620864. Its totient is φ = 9907200.

The previous prime is 25618381. The next prime is 25618409. The reversal of 25618400 is 481652.

It is a self number, because there is not a number n which added to its sum of digits gives 25618400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25618409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24284 + ... + 25316.

It is an arithmetic number, because the mean of its divisors is an integer number (897512).

Almost surely, 2^25618400 is an apocalyptic number.

25618400 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 25618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32310432).

25618400 is an abundant number, since it is smaller than the sum of its proper divisors (39002464).

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

25618400 is a wasteful number, since it uses less digits than its factorization.

25618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 25618400 is about 5061.4622393139. The cubic root of 25618400 is about 294.7931135846.

The spelling of 25618400 in words is "twenty-five million, six hundred eighteen thousand, four hundred".