160155648 has 72 divisors (see below), whose sum is σ = 462612150. Its totient is φ = 53379072.

The previous prime is 160155637. The next prime is 160155659. The reversal of 160155648 is 846551061.

160155648 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 5 + 5 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (160155637) and next prime (160155659).

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 54641664 = 10272^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14088 + ... + 22776.

Almost surely, 2^160155648 is an apocalyptic number.

160155648 is a gapful number since it is divisible by the number (18) 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 160155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231306075).

160155648 is an abundant number, since it is smaller than the sum of its proper divisors (302456502).

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

160155648 is an equidigital number, since it uses as much as digits as its factorization.

160155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 160155648 is about 12655.2616725218. The cubic root of 160155648 is about 543.0595052967.

The spelling of 160155648 in words is "one hundred sixty million, one hundred fifty-five thousand, six hundred forty-eight".