82148416 has 56 divisors (see below), whose sum is σ = 192755520. Its totient is φ = 33987072.

The previous prime is 82148413. The next prime is 82148441. The reversal of 82148416 is 61484128.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82148411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9831 + ... + 16153.

Almost surely, 2^82148416 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 82148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96377760).

82148416 is an abundant number, since it is smaller than the sum of its proper divisors (110607104).

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

82148416 is a wasteful number, since it uses less digits than its factorization.

82148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6361 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 82148416 is about 9063.5763360828. The cubic root of 82148416 is about 434.7101005857.

The spelling of 82148416 in words is "eighty-two million, one hundred forty-eight thousand, four hundred sixteen".