25259040 has 120 divisors (see below), whose sum is σ = 89189100. Its totient is φ = 6732288.

The previous prime is 25259011. The next prime is 25259041. The reversal of 25259040 is 4095252.

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 219024 = 5004^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25258995 and 25259013.

It is not an unprimeable number, because it can be changed into a prime (25259041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11986 + ... + 13934.

Almost surely, 2^25259040 is an apocalyptic number.

25259040 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 25259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44594550).

25259040 is an abundant number, since it is smaller than the sum of its proper divisors (63930060).

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

25259040 is a wasteful number, since it uses less digits than its factorization.

25259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 25259040 is about 5025.8372436839. The cubic root of 25259040 is about 293.4082223849.

The spelling of 25259040 in words is "twenty-five million, two hundred fifty-nine thousand, forty".