83429920 has 96 divisors (see below), whose sum is σ = 227138688. Its totient is φ = 28366848.

The previous prime is 83429917. The next prime is 83429921. The reversal of 83429920 is 2992438.

It is a self number, because there is not a number n which added to its sum of digits gives 83429920.

It is not an unprimeable number, because it can be changed into a prime (83429921) 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, 182332 + ... + 182788.

It is an arithmetic number, because the mean of its divisors is an integer number (2366028).

Almost surely, 2^83429920 is an apocalyptic number.

83429920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113569344).

83429920 is an abundant number, since it is smaller than the sum of its proper divisors (143708768).

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

83429920 is a wasteful number, since it uses less digits than its factorization.

83429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 83429920 is about 9133.9980293407. The cubic root of 83429920 is about 436.9589196635.

The spelling of 83429920 in words is "eighty-three million, four hundred twenty-nine thousand, nine hundred twenty".