25916160 has 144 divisors (see below), whose sum is σ = 87859296. Its totient is φ = 6488064.

The previous prime is 25916131. The next prime is 25916161. The reversal of 25916160 is 6161952.

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 (25916161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65082 + ... + 65478.

It is an arithmetic number, because the mean of its divisors is an integer number (610134).

Almost surely, 2^25916160 is an apocalyptic number.

25916160 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 25916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43929648).

25916160 is an abundant number, since it is smaller than the sum of its proper divisors (61943136).

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

25916160 is a wasteful number, since it uses less digits than its factorization.

25916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 25916160 is about 5090.7916869579. The cubic root of 25916160 is about 295.9308336078.

The spelling of 25916160 in words is "twenty-five million, nine hundred sixteen thousand, one hundred sixty".