82857060 has 384 divisors, whose sum is σ = 321753600. Its totient is φ = 17418240.

The previous prime is 82857053. The next prime is 82857077. The reversal of 82857060 is 6075828.

82857060 = 268² + 269² + ... + 644².

82857060 is a `hidden beast` number, since 8 + 28 + 570 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 2239362 + ... + 2239398.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 2^82857060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82857060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

82857060 is an abundant number, since it is smaller than the sum of its proper divisors (238896540).

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

82857060 is a wasteful number, since it uses less digits than its factorization.

82857060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82857060 is about 9102.5853470319. The cubic root of 82857060 is about 435.9565158776.

82857060 divided by its sum of digits (36) gives a triangular number (2301585 = T₂₁₄₅).

The spelling of 82857060 in words is "eighty-two million, eight hundred fifty-seven thousand, sixty".