82611216 has 60 divisors (see below), whose sum is σ = 241258368. Its totient is φ = 26338752.

The previous prime is 82611203. The next prime is 82611247. The reversal of 82611216 is 61211628.

It is a super-2 number, since 2×82611216² = 13649226017997312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82611216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9160 + ... + 15783.

Almost surely, 2^82611216 is an apocalyptic number.

It is an amenable number.

82611216 is an abundant number, since it is smaller than the sum of its proper divisors (158647152).

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

82611216 is a wasteful number, since it uses less digits than its factorization.

82611216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980 (or 24971 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 82611216 is about 9089.0712396812. The cubic root of 82611216 is about 435.5249152787.

The spelling of 82611216 in words is "eighty-two million, six hundred eleven thousand, two hundred sixteen".