25874640 has 240 divisors, whose sum is σ = 99118656. Its totient is φ = 6272640.

The previous prime is 25874621. The next prime is 25874671. The reversal of 25874640 is 4647852.

25874640 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 4 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 25874595 and 25874604.

It is a congruent number.

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, 2352235 + ... + 2352245.

Almost surely, 2^25874640 is an apocalyptic number.

25874640 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 25874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49559328).

25874640 is an abundant number, since it is smaller than the sum of its proper divisors (73244016).

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

25874640 is an equidigital number, since it uses as much as digits as its factorization.

25874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

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

The square root of 25874640 is about 5086.7121011514. The cubic root of 25874640 is about 295.7727132728.

It can be divided in two parts, 2587 and 4640, that added together give a palindrome (7227).

The spelling of 25874640 in words is "twenty-five million, eight hundred seventy-four thousand, six hundred forty".