83080032 has 48 divisors (see below), whose sum is σ = 249242112. Its totient is φ = 23736960.

The previous prime is 83080021. The next prime is 83080057. The reversal of 83080032 is 23008038.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 83079984 and 83080011.

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, 61144 + ... + 62487.

It is an arithmetic number, because the mean of its divisors is an integer number (5192544).

Almost surely, 2^83080032 is an apocalyptic number.

It is an amenable number.

83080032 is an abundant number, since it is smaller than the sum of its proper divisors (166162080).

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

83080032 is a wasteful number, since it uses less digits than its factorization.

83080032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123651 (or 123643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83080032 is about 9114.8248474669. The cubic root of 83080032 is about 436.3472250141.

The spelling of 83080032 in words is "eighty-three million, eighty thousand, thirty-two".