83486720 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 32194560.

The previous prime is 83486719. The next prime is 83486731. The reversal of 83486720 is 2768438.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317309 + ... + 317571.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^83486720 is an apocalyptic number.

83486720 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 83486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

83486720 is an abundant number, since it is smaller than the sum of its proper divisors (124080640).

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

83486720 is a wasteful number, since it uses less digits than its factorization.

83486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 83486720 is about 9137.1067630843. The cubic root of 83486720 is about 437.0580593021.

The spelling of 83486720 in words is "eighty-three million, four hundred eighty-six thousand, seven hundred twenty".