160187664 has 240 divisors, whose sum is σ = 538298880. Its totient is φ = 40884480.

The previous prime is 160187653. The next prime is 160187681. The reversal of 160187664 is 466781061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 5167329 + ... + 5167359.

It is an arithmetic number, because the mean of its divisors is an integer number (2242912).

Almost surely, 2^160187664 is an apocalyptic number.

160187664 is a gapful number since it is divisible by the number (14) 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 160187664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269149440).

160187664 is an abundant number, since it is smaller than the sum of its proper divisors (378111216).

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

160187664 is a wasteful number, since it uses less digits than its factorization.

160187664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 160187664 is about 12656.5265377196. The cubic root of 160187664 is about 543.0956897521.

The spelling of 160187664 in words is "one hundred sixty million, one hundred eighty-seven thousand, six hundred sixty-four".