25936000 has 64 divisors (see below), whose sum is σ = 64523160. Its totient is φ = 10368000.

The previous prime is 25935997. The next prime is 25936003. The reversal of 25936000 is 63952.

It is an interprime number because it is at equal distance from previous prime (25935997) and next prime (25936003).

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 14807104 = 3336^2 + 3848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25936003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15190 + ... + 16810.

Almost surely, 2^25936000 is an apocalyptic number.

25936000 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 25936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32261580).

25936000 is an abundant number, since it is smaller than the sum of its proper divisors (38587160).

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

25936000 is an equidigital number, since it uses as much as digits as its factorization.

25936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 25936000 is about 5092.7399305286. The cubic root of 25936000 is about 296.0063305196.

Adding to 25936000 its reverse (63952), we get a palindrome (25999952).

The spelling of 25936000 in words is "twenty-five million, nine hundred thirty-six thousand".