25973640 has 192 divisors, whose sum is σ = 105356160. Its totient is φ = 5391360.

The previous prime is 25973639. The next prime is 25973641. The reversal of 25973640 is 4637952.

25973640 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (25973639) and next prime (25973641).

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 = 25973595 and 25973604.

It is not an unprimeable number, because it can be changed into a prime (25973641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27252 + ... + 28188.

It is an arithmetic number, because the mean of its divisors is an integer number (548730).

Almost surely, 2^25973640 is an apocalyptic number.

25973640 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 25973640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52678080).

25973640 is an abundant number, since it is smaller than the sum of its proper divisors (79382520).

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

25973640 is a wasteful number, since it uses less digits than its factorization.

25973640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 965 counting only the distinct ones).

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

The square root of 25973640 is about 5096.4340474493. The cubic root of 25973640 is about 296.1494558124.

The spelling of 25973640 in words is "twenty-five million, nine hundred seventy-three thousand, six hundred forty".