83164320 has 336 divisors, whose sum is σ = 317302272. Its totient is φ = 20528640.

The previous prime is 83164303. The next prime is 83164321. The reversal of 83164320 is 2346138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83164321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2682705 + ... + 2682735.

It is an arithmetic number, because the mean of its divisors is an integer number (944352).

Almost surely, 2^83164320 is an apocalyptic number.

83164320 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 83164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158651136).

83164320 is an abundant number, since it is smaller than the sum of its proper divisors (234137952).

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

83164320 is a wasteful number, since it uses less digits than its factorization.

83164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83164320 is about 9119.4473516765. The cubic root of 83164320 is about 436.4947390162.

The spelling of 83164320 in words is "eighty-three million, one hundred sixty-four thousand, three hundred twenty".