83070160 has 60 divisors (see below), whose sum is σ = 205224588. Its totient is φ = 31264768.

The previous prime is 83070149. The next prime is 83070161. The reversal of 83070160 is 6107038.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 81649296 = 1192^2 + 9036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83070161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21324 + ... + 24916.

Almost surely, 2^83070160 is an apocalyptic number.

83070160 is a gapful number since it is divisible by the number (80) 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 83070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102612294).

83070160 is an abundant number, since it is smaller than the sum of its proper divisors (122154428).

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

83070160 is a wasteful number, since it uses less digits than its factorization.

83070160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 83070160 is about 9114.2832960140. The cubic root of 83070160 is about 436.3299413166.

Adding to 83070160 its reverse (6107038), we get a palindrome (89177198).

The spelling of 83070160 in words is "eighty-three million, seventy thousand, one hundred sixty".