25933440 has 128 divisors (see below), whose sum is σ = 89107200. Its totient is φ = 6377472.

The previous prime is 25933421. The next prime is 25933441. The reversal of 25933440 is 4433952.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×25933440³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25933398 and 25933407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25933441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24441 + ... + 25479.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^25933440 is an apocalyptic number.

25933440 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 25933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553600).

25933440 is an abundant number, since it is smaller than the sum of its proper divisors (63173760).

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

25933440 is a wasteful number, since it uses less digits than its factorization.

25933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 25933440 is about 5092.4885861433. The cubic root of 25933440 is about 295.9965911465.

The spelling of 25933440 in words is "twenty-five million, nine hundred thirty-three thousand, four hundred forty".