160978752 has 168 divisors, whose sum is σ = 522561312. Its totient is φ = 48729600.

The previous prime is 160978711. The next prime is 160978757. The reversal of 160978752 is 257879061.

160978752 = T₂₉₃ + T₂₉₄ + ... + T₉₉₆.

It is a junction number, because it is equal to n+sod(n) for n = 160978698 and 160978707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160978757) 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, 170602 + ... + 171542.

It is an arithmetic number, because the mean of its divisors is an integer number (3110484).

Almost surely, 2^160978752 is an apocalyptic number.

160978752 is a gapful number since it is divisible by the number (12) 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 160978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261280656).

160978752 is an abundant number, since it is smaller than the sum of its proper divisors (361582560).

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

160978752 is an equidigital number, since it uses as much as digits as its factorization.

160978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 160978752 is about 12687.7402243268. The cubic root of 160978752 is about 543.9882494578.

The spelling of 160978752 in words is "one hundred sixty million, nine hundred seventy-eight thousand, seven hundred fifty-two".