83120688 has 80 divisors (see below), whose sum is σ = 272680960. Its totient is φ = 23747904.

The previous prime is 83120683. The next prime is 83120711. The reversal of 83120688 is 88602138.

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

It is not an unprimeable number, because it can be changed into a prime (83120683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10720 + ... + 16767.

It is an arithmetic number, because the mean of its divisors is an integer number (3408512).

Almost surely, 2^83120688 is an apocalyptic number.

It is an amenable number.

83120688 is an abundant number, since it is smaller than the sum of its proper divisors (189560272).

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

83120688 is a wasteful number, since it uses less digits than its factorization.

83120688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27511 (or 27499 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 83120688 is about 9117.0547875945. The cubic root of 83120688 is about 436.4183902884.

The spelling of 83120688 in words is "eighty-three million, one hundred twenty thousand, six hundred eighty-eight".