25967040 has 112 divisors (see below), whose sum is σ = 89976960. Its totient is φ = 6292480.

The previous prime is 25967009. The next prime is 25967047. The reversal of 25967040 is 4076952.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25966992 and 25967010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25967047) 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, 9331 + ... + 11789.

Almost surely, 2^25967040 is an apocalyptic number.

25967040 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 25967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44988480).

25967040 is an abundant number, since it is smaller than the sum of its proper divisors (64009920).

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

25967040 is a wasteful number, since it uses less digits than its factorization.

25967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 25967040 is about 5095.7864947425. The cubic root of 25967040 is about 296.1243694557.

The spelling of 25967040 in words is "twenty-five million, nine hundred sixty-seven thousand, forty".