83720832 has 128 divisors (see below), whose sum is σ = 247672320. Its totient is φ = 24883200.

The previous prime is 83720831. The next prime is 83720849. The reversal of 83720832 is 23802738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 83720793 and 83720802.

It is not an unprimeable number, because it can be changed into a prime (83720831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154482 + ... + 155022.

It is an arithmetic number, because the mean of its divisors is an integer number (1934940).

Almost surely, 2^83720832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123836160).

83720832 is an abundant number, since it is smaller than the sum of its proper divisors (163951488).

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

83720832 is a wasteful number, since it uses less digits than its factorization.

83720832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 83720832 is about 9149.9088520050. The cubic root of 83720832 is about 437.4662082200.

The spelling of 83720832 in words is "eighty-three million, seven hundred twenty thousand, eight hundred thirty-two".