82162416 has 120 divisors (see below), whose sum is σ = 249556944. Its totient is φ = 23224320.

The previous prime is 82162393. The next prime is 82162429. The reversal of 82162416 is 61426128.

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, 425616 + ... + 425808.

Almost surely, 2^82162416 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 82162416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124778472).

82162416 is an abundant number, since it is smaller than the sum of its proper divisors (167394528).

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

82162416 is a wasteful number, since it uses less digits than its factorization.

82162416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 82162416 is about 9064.3486252461. The cubic root of 82162416 is about 434.7347940856.

The spelling of 82162416 in words is "eighty-two million, one hundred sixty-two thousand, four hundred sixteen".