25767840 has 96 divisors (see below), whose sum is σ = 92776320. Its totient is φ = 5889024.

The previous prime is 25767839. The next prime is 25767853. The reversal of 25767840 is 4876752.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 475 + ... + 7194.

It is an arithmetic number, because the mean of its divisors is an integer number (966420).

Almost surely, 2^25767840 is an apocalyptic number.

25767840 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 25767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46388160).

25767840 is an abundant number, since it is smaller than the sum of its proper divisors (67008480).

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

25767840 is a wasteful number, since it uses less digits than its factorization.

25767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 25767840 is about 5076.2033056212. The cubic root of 25767840 is about 295.3652088946.

The spelling of 25767840 in words is "twenty-five million, seven hundred sixty-seven thousand, eight hundred forty".