83620160 has 56 divisors (see below), whose sum is σ = 214448136. Its totient is φ = 30873600.

The previous prime is 83620139. The next prime is 83620171. The reversal of 83620160 is 6102638.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 83466496 = 392^2 + 9136^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5891 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (3829431).

Almost surely, 2^83620160 is an apocalyptic number.

83620160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83620160 is an abundant number, since it is smaller than the sum of its proper divisors (130827976).

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

83620160 is a wasteful number, since it uses less digits than its factorization.

83620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 83620160 is about 9144.4059402457. The cubic root of 83620160 is about 437.2907908581.

Adding to 83620160 its reverse (6102638), we get a palindrome (89722798).

The spelling of 83620160 in words is "eighty-three million, six hundred twenty thousand, one hundred sixty".