25628160 has 160 divisors (see below), whose sum is σ = 84851712. Its totient is φ = 6594560.

The previous prime is 25628143. The next prime is 25628167. The reversal of 25628160 is 6182652.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25628167) 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, 360925 + ... + 360995.

Almost surely, 2^25628160 is an apocalyptic number.

25628160 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 25628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42425856).

25628160 is an abundant number, since it is smaller than the sum of its proper divisors (59223552).

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

25628160 is an equidigital number, since it uses as much as digits as its factorization.

25628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 25628160 is about 5062.4262957598. The cubic root of 25628160 is about 294.8305452156.

The spelling of 25628160 in words is "twenty-five million, six hundred twenty-eight thousand, one hundred sixty".