82142016 has 224 divisors, whose sum is σ = 263347200. Its totient is φ = 22302720.

The previous prime is 82142003. The next prime is 82142023. The reversal of 82142016 is 61024128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 922900 + ... + 922988.

Almost surely, 2^82142016 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 82142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

82142016 is an abundant number, since it is smaller than the sum of its proper divisors (181205184).

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

82142016 is a wasteful number, since it uses less digits than its factorization.

82142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82142016 is about 9063.2232676901. The cubic root of 82142016 is about 434.6988111942.

The spelling of 82142016 in words is "eighty-two million, one hundred forty-two thousand, sixteen".