25667920 has 40 divisors (see below), whose sum is σ = 60531840. Its totient is φ = 10120320.

The previous prime is 25667897. The next prime is 25667921. The reversal of 25667920 is 2976652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×25667920³ (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25667920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25667921) 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 7 ways as a sum of consecutive naturals, for example, 3421 + ... + 7939.

It is an arithmetic number, because the mean of its divisors is an integer number (1513296).

Almost surely, 2^25667920 is an apocalyptic number.

25667920 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 25667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30265920).

25667920 is an abundant number, since it is smaller than the sum of its proper divisors (34863920).

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

25667920 is a wasteful number, since it uses less digits than its factorization.

25667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 25667920 is about 5066.3517445989. The cubic root of 25667920 is about 294.9829349508.

The spelling of 25667920 in words is "twenty-five million, six hundred sixty-seven thousand, nine hundred twenty".