83329920 has 384 divisors, whose sum is σ = 326514240. Its totient is φ = 19464192.

The previous prime is 83329901. The next prime is 83329927. The reversal of 83329920 is 2992338.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83329927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252142 + ... + 2252178.

Almost surely, 2^83329920 is an apocalyptic number.

83329920 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 83329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

83329920 is an abundant number, since it is smaller than the sum of its proper divisors (243184320).

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

83329920 is a wasteful number, since it uses less digits than its factorization.

83329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 83329920 is about 9128.5223338720. The cubic root of 83329920 is about 436.7842686441.

The spelling of 83329920 in words is "eighty-three million, three hundred twenty-nine thousand, nine hundred twenty".