83312000 has 128 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 32256000.

The previous prime is 83311999. The next prime is 83312023. The reversal of 83312000 is 21338.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 83312000.

It is a congruent number.

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, 655937 + ... + 656063.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^83312000 is an apocalyptic number.

83312000 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 83312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

83312000 is an abundant number, since it is smaller than the sum of its proper divisors (130545280).

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

83312000 is a wasteful number, since it uses less digits than its factorization.

83312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 83312000 is about 9127.5407421715. The cubic root of 83312000 is about 436.7529564206.

Adding to 83312000 its reverse (21338), we get a palindrome (83333338).

The spelling of 83312000 in words is "eighty-three million, three hundred twelve thousand".