82519360 has 224 divisors, whose sum is σ = 260713728. Its totient is φ = 24084480.

The previous prime is 82519351. The next prime is 82519373. The reversal of 82519360 is 6391528.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418782 + ... + 418978.

Almost surely, 2^82519360 is an apocalyptic number.

82519360 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 82519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130356864).

82519360 is an abundant number, since it is smaller than the sum of its proper divisors (178194368).

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

82519360 is a wasteful number, since it uses less digits than its factorization.

82519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 82519360 is about 9084.0167327015. The cubic root of 82519360 is about 435.3634343272.

The spelling of 82519360 in words is "eighty-two million, five hundred nineteen thousand, three hundred sixty".