25358640 has 80 divisors (see below), whose sum is σ = 79230048. Its totient is φ = 6709248.

The previous prime is 25358609. The next prime is 25358647. The reversal of 25358640 is 4685352.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (25358647) 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, 37344 + ... + 38016.

Almost surely, 2^25358640 is an apocalyptic number.

25358640 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 25358640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39615024).

25358640 is an abundant number, since it is smaller than the sum of its proper divisors (53871408).

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

25358640 is a wasteful number, since it uses less digits than its factorization.

25358640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 25358640 is about 5035.7362917452. The cubic root of 25358640 is about 293.7933667677.

It can be divided in two parts, 2535 and 8640, that multiplied together give a square (21902400 = 4680²).

The spelling of 25358640 in words is "twenty-five million, three hundred fifty-eight thousand, six hundred forty".