25683560 has 64 divisors (see below), whose sum is σ = 68342400. Its totient is φ = 8499456.

The previous prime is 25683557. The next prime is 25683601. The reversal of 25683560 is 6538652.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 25683560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6539 + ... + 9701.

It is an arithmetic number, because the mean of its divisors is an integer number (1067850).

Almost surely, 2^25683560 is an apocalyptic number.

25683560 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 25683560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34171200).

25683560 is an abundant number, since it is smaller than the sum of its proper divisors (42658840).

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

25683560 is a wasteful number, since it uses less digits than its factorization.

25683560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 25683560 is about 5067.8950265372. The cubic root of 25683560 is about 295.0428358748.

The spelling of 25683560 in words is "twenty-five million, six hundred eighty-three thousand, five hundred sixty".