83590080 has 168 divisors, whose sum is σ = 308902608. Its totient is φ = 19095552.

The previous prime is 83590061. The next prime is 83590099. The reversal of 83590080 is 8009538.

It is an interprime number because it is at equal distance from previous prime (83590061) and next prime (83590099).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46152 + ... + 47928.

It is an arithmetic number, because the mean of its divisors is an integer number (1838706).

Almost surely, 2^83590080 is an apocalyptic number.

83590080 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 83590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154451304).

83590080 is an abundant number, since it is smaller than the sum of its proper divisors (225312528).

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

83590080 is a wasteful number, since it uses less digits than its factorization.

83590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 83590080 is about 9142.7610709238. The cubic root of 83590080 is about 437.2383502165.

The spelling of 83590080 in words is "eighty-three million, five hundred ninety thousand, eighty".