83328672 has 48 divisors (see below), whose sum is σ = 249988032. Its totient is φ = 23808000.

The previous prime is 83328671. The next prime is 83328689. The reversal of 83328672 is 27682338.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 83328672.

It is not an unprimeable number, because it can be changed into a prime (83328671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61329 + ... + 62672.

It is an arithmetic number, because the mean of its divisors is an integer number (5208084).

Almost surely, 2^83328672 is an apocalyptic number.

It is an amenable number.

83328672 is an abundant number, since it is smaller than the sum of its proper divisors (166659360).

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

83328672 is a wasteful number, since it uses less digits than its factorization.

83328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124021 (or 124013 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 83328672 is about 9128.4539764409. The cubic root of 83328672 is about 436.7820881168.

The spelling of 83328672 in words is "eighty-three million, three hundred twenty-eight thousand, six hundred seventy-two".