25286820 has 96 divisors (see below), whose sum is σ = 80777088. Its totient is φ = 5855232.

The previous prime is 25286797. The next prime is 25286827. The reversal of 25286820 is 2868252.

It is not an unprimeable number, because it can be changed into a prime (25286827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12307 + ... + 14213.

It is an arithmetic number, because the mean of its divisors is an integer number (841428).

Almost surely, 2^25286820 is an apocalyptic number.

25286820 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 25286820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40388544).

25286820 is an abundant number, since it is smaller than the sum of its proper divisors (55490268).

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

25286820 is a wasteful number, since it uses less digits than its factorization.

25286820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 25286820 is about 5028.6002028398. The cubic root of 25286820 is about 293.5157468477.

It can be divided in two parts, 25286 and 820, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 25286820 in words is "twenty-five million, two hundred eighty-six thousand, eight hundred twenty".