25935840 has 288 divisors, whose sum is σ = 105670656. Its totient is φ = 5667840.

The previous prime is 25935827. The next prime is 25935841. The reversal of 25935840 is 4853952.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 25935795 and 25935804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25935841) 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, 312439 + ... + 312521.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^25935840 is an apocalyptic number.

25935840 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 25935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

25935840 is an abundant number, since it is smaller than the sum of its proper divisors (79734816).

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

25935840 is a wasteful number, since it uses less digits than its factorization.

25935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 25935840 is about 5092.7242218679. The cubic root of 25935840 is about 296.0057218275.

The spelling of 25935840 in words is "twenty-five million, nine hundred thirty-five thousand, eight hundred forty".