162005160 has 64 divisors (see below), whose sum is σ = 489168000. Its totient is φ = 42921216.

The previous prime is 162005147. The next prime is 162005183. The reversal of 162005160 is 61500261.

It is a happy number.

162005160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 14541 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (7643250).

Almost surely, 2^162005160 is an apocalyptic number.

162005160 is a gapful number since it is divisible by the number (10) 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 162005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244584000).

162005160 is an abundant number, since it is smaller than the sum of its proper divisors (327162840).

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

162005160 is a wasteful number, since it uses less digits than its factorization.

162005160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 162005160 is about 12728.1247636877. The cubic root of 162005160 is about 545.1419656538.

It can be divided in two parts, 162005 and 160, that added together give a triangular number (162165 = T₅₆₉).

The spelling of 162005160 in words is "one hundred sixty-two million, five thousand, one hundred sixty".