161264160 has 144 divisors (see below), whose sum is σ = 560962584. Its totient is φ = 42172416.

The previous prime is 161264069. The next prime is 161264161. The reversal of 161264160 is 61462161.

161264160 is a `hidden beast` number, since 1 + 6 + 12 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 71166096 = 9492^2 + 8436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×161264160² = 52012258601011200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161264161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75264 + ... + 77376.

Almost surely, 2^161264160 is an apocalyptic number.

161264160 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 161264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280481292).

161264160 is an abundant number, since it is smaller than the sum of its proper divisors (399698424).

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

161264160 is a wasteful number, since it uses less digits than its factorization.

161264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2176 counting only the distinct ones).

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

The square root of 161264160 is about 12698.9826364162. The cubic root of 161264160 is about 544.3095484516.

The spelling of 161264160 in words is "one hundred sixty-one million, two hundred sixty-four thousand, one hundred sixty".