20266160 has 80 divisors (see below), whose sum is σ = 50592000. Its totient is φ = 7527168.

The previous prime is 20266153. The next prime is 20266171. The reversal of 20266160 is 6166202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20266160² = 821434482291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101741 + ... + 101939.

It is an arithmetic number, because the mean of its divisors is an integer number (632400).

Almost surely, 2^20266160 is an apocalyptic number.

20266160 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 20266160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296000).

20266160 is an abundant number, since it is smaller than the sum of its proper divisors (30325840).

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

20266160 is a wasteful number, since it uses less digits than its factorization.

20266160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20266160 is about 4501.7951974740. The cubic root of 20266160 is about 272.6405750014.

The spelling of 20266160 in words is "twenty million, two hundred sixty-six thousand, one hundred sixty".