25793640 has 160 divisors (see below), whose sum is σ = 91476000. Its totient is φ = 6500736.

The previous prime is 25793639. The next prime is 25793653. The reversal of 25793640 is 4639752.

25793640 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 3 + 640 = 666.

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 = 25793595 and 25793604.

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, 61351 + ... + 61769.

It is an arithmetic number, because the mean of its divisors is an integer number (571725).

Almost surely, 2^25793640 is an apocalyptic number.

25793640 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 25793640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738000).

25793640 is an abundant number, since it is smaller than the sum of its proper divisors (65682360).

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

25793640 is a wasteful number, since it uses less digits than its factorization.

25793640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 25793640 is about 5078.7439392039. The cubic root of 25793640 is about 295.4637539608.

The spelling of 25793640 in words is "twenty-five million, seven hundred ninety-three thousand, six hundred forty".