83964768 has 48 divisors (see below), whose sum is σ = 233377200. Its totient is φ = 26341376.

The previous prime is 83964733. The next prime is 83964779. The reversal of 83964768 is 86746938.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 83964768.

It is a congruent number.

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, 24093 + ... + 27356.

It is an arithmetic number, because the mean of its divisors is an integer number (4862025).

Almost surely, 2^83964768 is an apocalyptic number.

It is an amenable number.

83964768 is an abundant number, since it is smaller than the sum of its proper divisors (149412432).

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

83964768 is a wasteful number, since it uses less digits than its factorization.

83964768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51479 (or 51471 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 83964768 is about 9163.2291251502. The cubic root of 83964768 is about 437.8906755777.

The spelling of 83964768 in words is "eighty-three million, nine hundred sixty-four thousand, seven hundred sixty-eight".