25268640 has 96 divisors (see below), whose sum is σ = 80994816. Its totient is φ = 6620160.

The previous prime is 25268629. The next prime is 25268641. The reversal of 25268640 is 4686252.

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

It is not an unprimeable number, because it can be changed into a prime (25268641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28849 + ... + 29711.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^25268640 is an apocalyptic number.

25268640 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 25268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497408).

25268640 is an abundant number, since it is smaller than the sum of its proper divisors (55726176).

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

25268640 is a wasteful number, since it uses less digits than its factorization.

25268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 25268640 is about 5026.7922177070. The cubic root of 25268640 is about 293.4453887772.

The spelling of 25268640 in words is "twenty-five million, two hundred sixty-eight thousand, six hundred forty".