25603600 has 135 divisors (see below), whose sum is σ = 70680589. Its totient is φ = 8905600.

The previous prime is 25603597. The next prime is 25603603. The reversal of 25603600 is 630652.

25603600 = T₄₄₉ + T₄₅₀ + ... + T₆₂₄.

The square root of 25603600 is 5060.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (25603597) and next prime (25603603).

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 16386304 = 3036^2 + 4048^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25603603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1113189 + ... + 1113211.

Almost surely, 2^25603600 is an apocalyptic number.

25603600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25603600 is the 5060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25603600

25603600 is an abundant number, since it is smaller than the sum of its proper divisors (45076989).

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

25603600 is a wasteful number, since it uses less digits than its factorization.

25603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The cubic root of 25603600 is about 294.7363343618.

The spelling of 25603600 in words is "twenty-five million, six hundred three thousand, six hundred".