25676640 has 144 divisors (see below), whose sum is σ = 95646096. Its totient is φ = 6220800.

The previous prime is 25676627. The next prime is 25676689. The reversal of 25676640 is 4667652.

25676640 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25676595 and 25676604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15030 + ... + 16650.

It is an arithmetic number, because the mean of its divisors is an integer number (664209).

Almost surely, 2^25676640 is an apocalyptic number.

25676640 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 25676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47823048).

25676640 is an abundant number, since it is smaller than the sum of its proper divisors (69969456).

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

25676640 is a wasteful number, since it uses less digits than its factorization.

25676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 25676640 is about 5067.2122513272. The cubic root of 25676640 is about 295.0163353973.

The spelling of 25676640 in words is "twenty-five million, six hundred seventy-six thousand, six hundred forty".