82888416 has 144 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 25309440.

The previous prime is 82888387. The next prime is 82888423. The reversal of 82888416 is 61488828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632671 + ... + 632801.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^82888416 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 82888416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

82888416 is an abundant number, since it is smaller than the sum of its proper divisors (174408624).

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

82888416 is a wasteful number, since it uses less digits than its factorization.

82888416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 82888416 is about 9104.3075519229. The cubic root of 82888416 is about 436.0115026564.

The spelling of 82888416 in words is "eighty-two million, eight hundred eighty-eight thousand, four hundred sixteen".