82476160 has 128 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 29061120.

The previous prime is 82476157. The next prime is 82476167. The reversal of 82476160 is 6167428.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82476167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191145 + ... + 191575.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^82476160 is an apocalyptic number.

82476160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

82476160 is an abundant number, since it is smaller than the sum of its proper divisors (139606400).

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

82476160 is a wasteful number, since it uses less digits than its factorization.

82476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 82476160 is about 9081.6386186635. The cubic root of 82476160 is about 435.2874481855.

The spelling of 82476160 in words is "eighty-two million, four hundred seventy-six thousand, one hundred sixty".