25742640 has 240 divisors, whose sum is σ = 101779200. Its totient is φ = 5322240.

The previous prime is 25742623. The next prime is 25742653. The reversal of 25742640 is 4624752.

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 (30).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 25742598 and 25742607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129261 + ... + 129459.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^25742640 is an apocalyptic number.

25742640 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 25742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

25742640 is an abundant number, since it is smaller than the sum of its proper divisors (76036560).

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

25742640 is a wasteful number, since it uses less digits than its factorization.

25742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 25742640 is about 5073.7205283697. The cubic root of 25742640 is about 295.2688920519.

The spelling of 25742640 in words is "twenty-five million, seven hundred forty-two thousand, six hundred forty".