20465160 has 64 divisors (see below), whose sum is σ = 61776000. Its totient is φ = 5423616.

The previous prime is 20465149. The next prime is 20465189. The reversal of 20465160 is 6156402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20465160.

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, 23452 + ... + 24308.

It is an arithmetic number, because the mean of its divisors is an integer number (965250).

Almost surely, 2^20465160 is an apocalyptic number.

20465160 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 20465160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888000).

20465160 is an abundant number, since it is smaller than the sum of its proper divisors (41310840).

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

20465160 is a wasteful number, since it uses less digits than its factorization.

20465160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20465160 is about 4523.8434986193. The cubic root of 20465160 is about 273.5300520548.

The spelling of 20465160 in words is "twenty million, four hundred sixty-five thousand, one hundred sixty".