25380000 has 240 divisors, whose sum is σ = 94469760. Its totient is φ = 6624000.

The previous prime is 25379999. The next prime is 25380011. The reversal of 25380000 is 8352.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539977 + ... + 540023.

It is an arithmetic number, because the mean of its divisors is an integer number (393624).

Almost surely, 2^25380000 is an apocalyptic number.

25380000 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 25380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47234880).

25380000 is an abundant number, since it is smaller than the sum of its proper divisors (69089760).

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

25380000 is an equidigital number, since it uses as much as digits as its factorization.

25380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25380000 is about 5037.8566871240. The cubic root of 25380000 is about 293.8758326147.

Adding to 25380000 its reverse (8352), we get a palindrome (25388352).

The spelling of 25380000 in words is "twenty-five million, three hundred eighty thousand".