25606400 has 54 divisors (see below), whose sum is σ = 63395682. Its totient is φ = 10240000.

The previous prime is 25606381. The next prime is 25606409. The reversal of 25606400 is 460652.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 25563136 = 208^2 + 5056^2 .

It is not an unprimeable number, because it can be changed into a prime (25606409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4400 + ... + 8400.

Almost surely, 2^25606400 is an apocalyptic number.

25606400 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 25606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31697841).

25606400 is an abundant number, since it is smaller than the sum of its proper divisors (37789282).

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

25606400 is an equidigital number, since it uses as much as digits as its factorization.

25606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 25606400 is about 5060.2766722779. The cubic root of 25606400 is about 294.7470780548.

The spelling of 25606400 in words is "twenty-five million, six hundred six thousand, four hundred".