83373696 has 192 divisors, whose sum is σ = 281112000. Its totient is φ = 23708160.

The previous prime is 83373683. The next prime is 83373701. The reversal of 83373696 is 69637338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (489888) is a multiple of the sum of its prime factors (252).

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, 395031 + ... + 395241.

It is an arithmetic number, because the mean of its divisors is an integer number (1464125).

Almost surely, 2^83373696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83373696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140556000).

83373696 is an abundant number, since it is smaller than the sum of its proper divisors (197738304).

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

83373696 is a wasteful number, since it uses less digits than its factorization.

83373696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 83373696 is about 9130.9197784232. The cubic root of 83373696 is about 436.8607410599.

It can be divided in two parts, 833 and 73696, that added together give a square (74529 = 273²).

The spelling of 83373696 in words is "eighty-three million, three hundred seventy-three thousand, six hundred ninety-six".