160167820 has 48 divisors (see below), whose sum is σ = 349026048. Its totient is φ = 61689600.

The previous prime is 160167817. The next prime is 160167823. The reversal of 160167820 is 28761061.

It is an interprime number because it is at equal distance from previous prime (160167817) and next prime (160167823).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (160167823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73669 + ... + 75811.

It is an arithmetic number, because the mean of its divisors is an integer number (7271376).

Almost surely, 2^160167820 is an apocalyptic number.

160167820 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 160167820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174513024).

160167820 is an abundant number, since it is smaller than the sum of its proper divisors (188858228).

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

160167820 is a wasteful number, since it uses less digits than its factorization.

160167820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 160167820 is about 12655.7425700747. The cubic root of 160167820 is about 543.0732626487.

The spelling of 160167820 in words is "one hundred sixty million, one hundred sixty-seven thousand, eight hundred twenty".