83452992 has 112 divisors (see below), whose sum is σ = 260616192. Its totient is φ = 23063040.

The previous prime is 83452991. The next prime is 83453009. The reversal of 83452992 is 29925438.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (83452991) 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, 40663 + ... + 42665.

Almost surely, 2^83452992 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 83452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130308096).

83452992 is an abundant number, since it is smaller than the sum of its proper divisors (177163200).

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

83452992 is a wasteful number, since it uses less digits than its factorization.

83452992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2046 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 83452992 is about 9135.2609158141. The cubic root of 83452992 is about 436.9991953304. Note that the first 3 decimals are identical.

The spelling of 83452992 in words is "eighty-three million, four hundred fifty-two thousand, nine hundred ninety-two".