25971600 has 120 divisors (see below), whose sum is σ = 86905152. Its totient is φ = 6617600.

The previous prime is 25971599. The next prime is 25971601. The reversal of 25971600 is 617952.

It is an interprime number because it is at equal distance from previous prime (25971599) and next prime (25971601).

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 (30).

It is not an unprimeable number, because it can be changed into a prime (25971601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27130 + ... + 28070.

Almost surely, 2^25971600 is an apocalyptic number.

25971600 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 25971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43452576).

25971600 is an abundant number, since it is smaller than the sum of its proper divisors (60933552).

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

25971600 is a wasteful number, since it uses less digits than its factorization.

25971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 25971600 is about 5096.2339035802. The cubic root of 25971600 is about 296.1417023014.

The spelling of 25971600 in words is "twenty-five million, nine hundred seventy-one thousand, six hundred".