25627842 has 48 divisors (see below), whose sum is σ = 58601088. Its totient is φ = 8078400.

The previous prime is 25627813. The next prime is 25627843. The reversal of 25627842 is 24872652.

25627842 is a `hidden beast` number, since 25 + 627 + 8 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25627797 and 25627806.

It is not an unprimeable number, because it can be changed into a prime (25627843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42342 + ... + 42942.

It is an arithmetic number, because the mean of its divisors is an integer number (1220856).

Almost surely, 2^25627842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25627842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29300544).

25627842 is an abundant number, since it is smaller than the sum of its proper divisors (32973246).

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

25627842 is a wasteful number, since it uses less digits than its factorization.

25627842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 25627842 is about 5062.3948877977. The cubic root of 25627842 is about 294.8293257692.

It can be divided in two parts, 2562 and 7842, that added together give a square (10404 = 102²).

The spelling of 25627842 in words is "twenty-five million, six hundred twenty-seven thousand, eight hundred forty-two".