82701216 has 192 divisors, whose sum is σ = 268128000. Its totient is φ = 24634368.

The previous prime is 82701181. The next prime is 82701221. The reversal of 82701216 is 61210728.

It is a super-2 number, since 2×82701216² = 13678982255757312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82701216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415485 + ... + 415683.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^82701216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064000).

82701216 is an abundant number, since it is smaller than the sum of its proper divisors (185426784).

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

82701216 is a wasteful number, since it uses less digits than its factorization.

82701216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 82701216 is about 9094.0208928724. The cubic root of 82701216 is about 435.6830173643.

The spelling of 82701216 in words is "eighty-two million, seven hundred one thousand, two hundred sixteen".