82396160 has 264 divisors, whose sum is σ = 261360960. Its totient is φ = 24330240.

The previous prime is 82396121. The next prime is 82396169. The reversal of 82396160 is 6169328.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 82396160.

It is not an unprimeable number, because it can be changed into a prime (82396169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4336631 + ... + 4336649.

Almost surely, 2^82396160 is an apocalyptic number.

82396160 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 82396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130680480).

82396160 is an abundant number, since it is smaller than the sum of its proper divisors (178964800).

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

82396160 is a wasteful number, since it uses less digits than its factorization.

82396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 82396160 is about 9077.2330585922. The cubic root of 82396160 is about 435.1466630136.

The spelling of 82396160 in words is "eighty-two million, three hundred ninety-six thousand, one hundred sixty".