25712640 has 240 divisors, whose sum is σ = 95135040. Its totient is φ = 6635520.

The previous prime is 25712639. The next prime is 25712677. The reversal of 25712640 is 4621752.

25712640 is a `hidden beast` number, since 2 + 5 + 7 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×25712640² = 1322279711539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829425 + ... + 829455.

It is an arithmetic number, because the mean of its divisors is an integer number (396396).

Almost surely, 2^25712640 is an apocalyptic number.

25712640 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 25712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

25712640 is an abundant number, since it is smaller than the sum of its proper divisors (69422400).

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

25712640 is an equidigital number, since it uses as much as digits as its factorization.

25712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25712640 is about 5070.7632561578. The cubic root of 25712640 is about 295.1541471514.

The spelling of 25712640 in words is "twenty-five million, seven hundred twelve thousand, six hundred forty".