83596480 has 168 divisors, whose sum is σ = 233501184. Its totient is φ = 28385280.

The previous prime is 83596459. The next prime is 83596501. The reversal of 83596480 is 8469538.

It is an interprime number because it is at equal distance from previous prime (83596459) and next prime (83596501).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658177 + ... + 658303.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^83596480 is an apocalyptic number.

83596480 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 83596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

83596480 is an abundant number, since it is smaller than the sum of its proper divisors (149904704).

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

83596480 is a wasteful number, since it uses less digits than its factorization.

83596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 83596480 is about 9143.1110679024. Note that the first 3 decimals coincide. The cubic root of 83596480 is about 437.2495088533.

The spelling of 83596480 in words is "eighty-three million, five hundred ninety-six thousand, four hundred eighty".