83165840 has 40 divisors (see below), whose sum is σ = 194686200. Its totient is φ = 33038336.

The previous prime is 83165821. The next prime is 83165867. The reversal of 83165840 is 4856138.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 82882816 = 532^2 + 9104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 83165840.

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, 8432 + ... + 15408.

It is an arithmetic number, because the mean of its divisors is an integer number (4867155).

Almost surely, 2^83165840 is an apocalyptic number.

83165840 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 83165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97343100).

83165840 is an abundant number, since it is smaller than the sum of its proper divisors (111520360).

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

83165840 is a wasteful number, since it uses less digits than its factorization.

83165840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 83165840 is about 9119.5306896792. The cubic root of 83165840 is about 436.4973982815.

It can be divided in two parts, 8316 and 5840, that multiplied together give a triangular number (48565440 = T₉₈₅₅).

The spelling of 83165840 in words is "eighty-three million, one hundred sixty-five thousand, eight hundred forty".