25142320 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 7630848.

The previous prime is 25142311. The next prime is 25142329. The reversal of 25142320 is 2324152.

It is an interprime number because it is at equal distance from previous prime (25142311) and next prime (25142329).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25142329) 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 31 ways as a sum of consecutive naturals, for example, 180811 + ... + 180949.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^25142320 is an apocalyptic number.

25142320 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 25142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

25142320 is an abundant number, since it is smaller than the sum of its proper divisors (49852880).

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

25142320 is a wasteful number, since it uses less digits than its factorization.

25142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 25142320 is about 5014.2118024671. The cubic root of 25142320 is about 292.9555858393.

Adding to 25142320 its reverse (2324152), we get a palindrome (27466472).

The spelling of 25142320 in words is "twenty-five million, one hundred forty-two thousand, three hundred twenty".