25896640 has 112 divisors (see below), whose sum is σ = 76955904. Its totient is φ = 8064000.

The previous prime is 25896631. The next prime is 25896649. The reversal of 25896640 is 4669852.

25896640 = 659² + 660² + ... + 713².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25896631) and next prime (25896649).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25896593 and 25896602.

It is not an unprimeable number, because it can be changed into a prime (25896649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24115 + ... + 25165.

Almost surely, 2^25896640 is an apocalyptic number.

25896640 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 25896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38477952).

25896640 is an abundant number, since it is smaller than the sum of its proper divisors (51059264).

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

25896640 is a wasteful number, since it uses less digits than its factorization.

25896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 25896640 is about 5088.8741387462. The cubic root of 25896640 is about 295.8565167751.

It can be divided in two parts, 2589 and 6640, that added together give a palindrome (9229).

The spelling of 25896640 in words is "twenty-five million, eight hundred ninety-six thousand, six hundred forty".