82416160 has 48 divisors (see below), whose sum is σ = 195302016. Its totient is φ = 32866048.

The previous prime is 82416137. The next prime is 82416181. The reversal of 82416160 is 6161428.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74169 + ... + 75271.

It is an arithmetic number, because the mean of its divisors is an integer number (4068792).

Almost surely, 2^82416160 is an apocalyptic number.

82416160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82416160 is an abundant number, since it is smaller than the sum of its proper divisors (112885856).

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

82416160 is a wasteful number, since it uses less digits than its factorization.

82416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 82416160 is about 9078.3346490422. The cubic root of 82416160 is about 435.1818678468.

Adding to 82416160 its reverse (6161428), we get a palindrome (88577588).

The spelling of 82416160 in words is "eighty-two million, four hundred sixteen thousand, one hundred sixty".