25691040 has 192 divisors, whose sum is σ = 94953600. Its totient is φ = 6469632.

The previous prime is 25691011. The next prime is 25691041. The reversal of 25691040 is 4019652.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 25690995 and 25691013.

It is not an unprimeable number, because it can be changed into a prime (25691041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81924 + ... + 82236.

It is an arithmetic number, because the mean of its divisors is an integer number (494550).

Almost surely, 2^25691040 is an apocalyptic number.

25691040 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 25691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47476800).

25691040 is an abundant number, since it is smaller than the sum of its proper divisors (69262560).

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

25691040 is a wasteful number, since it uses less digits than its factorization.

25691040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 25691040 is about 5068.6329517928. The cubic root of 25691040 is about 295.0714755468.

The spelling of 25691040 in words is "twenty-five million, six hundred ninety-one thousand, forty".