83846320 has 40 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 32455680.

The previous prime is 83846311. The next prime is 83846327. The reversal of 83846320 is 2364838.

It is a tau number, because it is divible by the number of its divisors (40).

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 not an unprimeable number, because it can be changed into a prime (83846327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14425 + ... + 19384.

It is an arithmetic number, because the mean of its divisors is an integer number (5030928).

Almost surely, 2^83846320 is an apocalyptic number.

83846320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83846320 is an abundant number, since it is smaller than the sum of its proper divisors (117390800).

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

83846320 is a wasteful number, since it uses less digits than its factorization.

83846320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33853 (or 33847 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 83846320 is about 9156.7636204065. The cubic root of 83846320 is about 437.6846697946.

The spelling of 83846320 in words is "eighty-three million, eight hundred forty-six thousand, three hundred twenty".