83166720 has 480 divisors, whose sum is σ = 352664928. Its totient is φ = 16515072.

The previous prime is 83166719. The next prime is 83166761. The reversal of 83166720 is 2766138.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4892152 + ... + 4892168.

Almost surely, 2^83166720 is an apocalyptic number.

83166720 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 83166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464).

83166720 is an abundant number, since it is smaller than the sum of its proper divisors (269498208).

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

83166720 is a wasteful number, since it uses less digits than its factorization.

83166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 83166720 is about 9119.5789376484. The cubic root of 83166720 is about 436.4989378413.

The spelling of 83166720 in words is "eighty-three million, one hundred sixty-six thousand, seven hundred twenty".