25355820 has 96 divisors (see below), whose sum is σ = 82349568. Its totient is φ = 5709312.

The previous prime is 25355797. The next prime is 25355839. The reversal of 25355820 is 2855352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30247 + ... + 31073.

It is an arithmetic number, because the mean of its divisors is an integer number (857808).

Almost surely, 2^25355820 is an apocalyptic number.

25355820 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 25355820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41174784).

25355820 is an abundant number, since it is smaller than the sum of its proper divisors (56993748).

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

25355820 is a wasteful number, since it uses less digits than its factorization.

25355820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 25355820 is about 5035.4562851841. The cubic root of 25355820 is about 293.7824759628.

The spelling of 25355820 in words is "twenty-five million, three hundred fifty-five thousand, eight hundred twenty".