25516920 has 128 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 5706240.

The previous prime is 25516891. The next prime is 25516927. The reversal of 25516920 is 2961552.

It is a happy number.

It is a super-2 number, since 2×25516920² = 1302226412572800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25516927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16417 + ... + 17903.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^25516920 is an apocalyptic number.

25516920 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 25516920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

25516920 is an abundant number, since it is smaller than the sum of its proper divisors (64477320).

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

25516920 is a wasteful number, since it uses less digits than its factorization.

25516920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 25516920 is about 5051.4275210083. The cubic root of 25516920 is about 294.4033521495.

The spelling of 25516920 in words is "twenty-five million, five hundred sixteen thousand, nine hundred twenty".