162641160 has 192 divisors, whose sum is σ = 586198080. Its totient is φ = 38776320.

The previous prime is 162641147. The next prime is 162641231. The reversal of 162641160 is 61146261.

162641160 is a `hidden beast` number, since 1 + 6 + 2 + 641 + 16 + 0 = 666.

It is a super-2 number, since 2×162641160² = 52904293852291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265014 + ... + 265626.

It is an arithmetic number, because the mean of its divisors is an integer number (3053115).

Almost surely, 2^162641160 is an apocalyptic number.

162641160 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 162641160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293099040).

162641160 is an abundant number, since it is smaller than the sum of its proper divisors (423556920).

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

162641160 is a wasteful number, since it uses less digits than its factorization.

162641160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 162641160 is about 12753.0843328193. The cubic root of 162641160 is about 545.8544071010.

It can be divided in two parts, 16264 and 1160, that added together give a square (17424 = 132²).

The spelling of 162641160 in words is "one hundred sixty-two million, six hundred forty-one thousand, one hundred sixty".