83300672 has 56 divisors (see below), whose sum is σ = 203460096. Its totient is φ = 32951808.

The previous prime is 83300669. The next prime is 83300699. The reversal of 83300672 is 27600338.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1328 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (3633216).

Almost surely, 2^83300672 is an apocalyptic number.

It is an amenable number.

83300672 is an abundant number, since it is smaller than the sum of its proper divisors (120159424).

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

83300672 is a wasteful number, since it uses less digits than its factorization.

83300672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14335 (or 14325 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 83300672 is about 9126.9201815289. The cubic root of 83300672 is about 436.7331603058.

The spelling of 83300672 in words is "eighty-three million, three hundred thousand, six hundred seventy-two".