83485600 has 144 divisors (see below), whose sum is σ = 227797920. Its totient is φ = 29619200.

The previous prime is 83485543. The next prime is 83485603. The reversal of 83485600 is 658438.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83485603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466311 + ... + 466489.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^83485600 is an apocalyptic number.

83485600 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 83485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898960).

83485600 is an abundant number, since it is smaller than the sum of its proper divisors (144312320).

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

83485600 is a wasteful number, since it uses less digits than its factorization.

83485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 83485600 is about 9137.0454743314. The cubic root of 83485600 is about 437.0561048706.

The spelling of 83485600 in words is "eighty-three million, four hundred eighty-five thousand, six hundred".