82155360 has 192 divisors, whose sum is σ = 302400000. Its totient is φ = 18740736.

The previous prime is 82155343. The next prime is 82155361. The reversal of 82155360 is 6355128.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82155361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164391 + ... + 164889.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 2^82155360 is an apocalyptic number.

82155360 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 82155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

82155360 is an abundant number, since it is smaller than the sum of its proper divisors (220244640).

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

82155360 is a wasteful number, since it uses less digits than its factorization.

82155360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 82155360 is about 9063.9593997325. The cubic root of 82155360 is about 434.7223489123.

The spelling of 82155360 in words is "eighty-two million, one hundred fifty-five thousand, three hundred sixty".