83089920 has 160 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 21381120.

The previous prime is 83089913. The next prime is 83089939. The reversal of 83089920 is 2998038.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237906 + ... + 238254.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^83089920 is an apocalyptic number.

83089920 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 83089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

83089920 is an abundant number, since it is smaller than the sum of its proper divisors (191892480).

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

83089920 is a wasteful number, since it uses less digits than its factorization.

83089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 83089920 is about 9115.3672443846. The cubic root of 83089920 is about 436.3645353517.

The spelling of 83089920 in words is "eighty-three million, eighty-nine thousand, nine hundred twenty".