82144416 has 24 divisors (see below), whose sum is σ = 215629344. Its totient is φ = 27381440.

The previous prime is 82144367. The next prime is 82144421. The reversal of 82144416 is 61444128.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 427740 + ... + 427931.

It is an arithmetic number, because the mean of its divisors is an integer number (8984556).

Almost surely, 2^82144416 is an apocalyptic number.

It is an amenable number.

82144416 is an abundant number, since it is smaller than the sum of its proper divisors (133484928).

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

82144416 is a wasteful number, since it uses less digits than its factorization.

82144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855684 (or 855676 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 82144416 is about 9063.3556699492. The cubic root of 82144416 is about 434.7030447847.

The spelling of 82144416 in words is "eighty-two million, one hundred forty-four thousand, four hundred sixteen".