83672160 has 384 divisors, whose sum is σ = 329204736. Its totient is φ = 17571840.

The previous prime is 83672159. The next prime is 83672179. The reversal of 83672160 is 6127638.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1578694 + ... + 1578746.

It is an arithmetic number, because the mean of its divisors is an integer number (857304).

Almost surely, 2^83672160 is an apocalyptic number.

83672160 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 83672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368).

83672160 is an abundant number, since it is smaller than the sum of its proper divisors (245532576).

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

83672160 is a wasteful number, since it uses less digits than its factorization.

83672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 83672160 is about 9147.2487667058. The cubic root of 83672160 is about 437.3814165686.

Adding to 83672160 its reverse (6127638), we get a palindrome (89799798).

The spelling of 83672160 in words is "eighty-three million, six hundred seventy-two thousand, one hundred sixty".