20257160 has 64 divisors (see below), whose sum is σ = 56833920. Its totient is φ = 6312960.

The previous prime is 20257121. The next prime is 20257163. The reversal of 20257160 is 6175202.

It is not an unprimeable number, because it can be changed into a prime (20257163) 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, 209 + ... + 6368.

It is an arithmetic number, because the mean of its divisors is an integer number (888030).

Almost surely, 2^20257160 is an apocalyptic number.

20257160 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 20257160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28416960).

20257160 is an abundant number, since it is smaller than the sum of its proper divisors (36576760).

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

20257160 is a wasteful number, since it uses less digits than its factorization.

20257160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 20257160 is about 4500.7954852448. The cubic root of 20257160 is about 272.6002100367.

The spelling of 20257160 in words is "twenty million, two hundred fifty-seven thousand, one hundred sixty".