25611642 has 96 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 6907680.

The previous prime is 25611637. The next prime is 25611647. The reversal of 25611642 is 24611652.

25611642 is a `hidden beast` number, since 2 + 5 + 6 + 11 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (25611637) and next prime (25611647).

It is not an unprimeable number, because it can be changed into a prime (25611647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308533 + ... + 308615.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 2^25611642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25611642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

25611642 is an abundant number, since it is smaller than the sum of its proper divisors (41480838).

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

25611642 is a wasteful number, since it uses less digits than its factorization.

25611642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 25611642 is about 5060.7946016411. The cubic root of 25611642 is about 294.7671896775.

The spelling of 25611642 in words is "twenty-five million, six hundred eleven thousand, six hundred forty-two".