25264140 has 96 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 6048000.

The previous prime is 25264123. The next prime is 25264153. The reversal of 25264140 is 4146252.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25264140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66471 + ... + 66849.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 2^25264140 is an apocalyptic number.

25264140 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 25264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

25264140 is an abundant number, since it is smaller than the sum of its proper divisors (52876020).

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

25264140 is a wasteful number, since it uses less digits than its factorization.

25264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 25264140 is about 5026.3445962250. The cubic root of 25264140 is about 293.4279682031.

It can be divided in two parts, 2526 and 4140, that added together give a palindrome (6666).

The spelling of 25264140 in words is "twenty-five million, two hundred sixty-four thousand, one hundred forty".