83098080 has 288 divisors, whose sum is σ = 320314176. Its totient is φ = 19464192.

The previous prime is 83098069. The next prime is 83098109. The reversal of 83098080 is 8089038.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430464 + ... + 430656.

It is an arithmetic number, because the mean of its divisors is an integer number (1112202).

Almost surely, 2^83098080 is an apocalyptic number.

83098080 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 83098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157088).

83098080 is an abundant number, since it is smaller than the sum of its proper divisors (237216096).

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

83098080 is a wasteful number, since it uses less digits than its factorization.

83098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 83098080 is about 9115.8148291856. The cubic root of 83098080 is about 436.3788195475.

The spelling of 83098080 in words is "eighty-three million, ninety-eight thousand, eighty".