25314120 has 160 divisors (see below), whose sum is σ = 91780920. Its totient is φ = 6220800.

The previous prime is 25314109. The next prime is 25314131. The reversal of 25314120 is 2141352.

25314120 is a `hidden beast` number, since 253 + 1 + 412 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25314109) and next prime (25314131).

It can be written as a sum of positive squares in 4 ways, for example, as 20088324 + 5225796 = 4482^2 + 2286^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 25314093 and 25314102.

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, 41820 + ... + 42420.

Almost surely, 2^25314120 is an apocalyptic number.

25314120 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 25314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45890460).

25314120 is an abundant number, since it is smaller than the sum of its proper divisors (66466800).

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

25314120 is a wasteful number, since it uses less digits than its factorization.

25314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

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

The square root of 25314120 is about 5031.3139436930. The cubic root of 25314120 is about 293.6213367423.

Adding to 25314120 its reverse (2141352), we get a palindrome (27455472).

The spelling of 25314120 in words is "twenty-five million, three hundred fourteen thousand, one hundred twenty".