25601600 has 42 divisors (see below), whose sum is σ = 62999874. Its totient is φ = 10240000.

The previous prime is 25601561. The next prime is 25601603. The reversal of 25601600 is 610652.

It can be written as a sum of positive squares in 3 ways, for example, as 4734976 + 20866624 = 2176^2 + 4568^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (25601603) 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, 6401 + ... + 9600.

It is an arithmetic number, because the mean of its divisors is an integer number (1499997).

Almost surely, 2^25601600 is an apocalyptic number.

25601600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25601600 is an abundant number, since it is smaller than the sum of its proper divisors (37398274).

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

25601600 is a wasteful number, since it uses less digits than its factorization.

25601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16023 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 25601600 is about 5059.8023676820. The cubic root of 25601600 is about 294.7286598158.

It can be divided in two parts, 2560 and 1600, that multiplied together give a cube (4096000 = 160³).

The spelling of 25601600 in words is "twenty-five million, six hundred one thousand, six hundred".