160010820 has 72 divisors (see below), whose sum is σ = 486724056. Its totient is φ = 42550272.

The previous prime is 160010819. The next prime is 160010827. The reversal of 160010820 is 28010061.

It can be written as a sum of positive squares in 4 ways, for example, as 1855044 + 158155776 = 1362^2 + 12576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 160010793 and 160010802.

It is not an unprimeable number, because it can be changed into a prime (160010827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76914 + ... + 78966.

Almost surely, 2^160010820 is an apocalyptic number.

160010820 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 160010820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243362028).

160010820 is an abundant number, since it is smaller than the sum of its proper divisors (326713236).

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

160010820 is a wasteful number, since it uses less digits than its factorization.

160010820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 160010820 is about 12649.5383314965. The cubic root of 160010820 is about 542.8957605426.

Adding to 160010820 its reverse (28010061), we get a palindrome (188020881).

The spelling of 160010820 in words is "one hundred sixty million, ten thousand, eight hundred twenty".