83673360 has 120 divisors (see below), whose sum is σ = 282731904. Its totient is φ = 22176000.

The previous prime is 83673347. The next prime is 83673377. The reversal of 83673360 is 6337638.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180489 + ... + 180951.

Almost surely, 2^83673360 is an apocalyptic number.

83673360 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 83673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141365952).

83673360 is an abundant number, since it is smaller than the sum of its proper divisors (199058544).

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

83673360 is a wasteful number, since it uses less digits than its factorization.

83673360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 83673360 is about 9147.3143599638. The cubic root of 83673360 is about 437.3835074879.

The spelling of 83673360 in words is "eighty-three million, six hundred seventy-three thousand, three hundred sixty".