82851840 has 288 divisors, whose sum is σ = 306633600. Its totient is φ = 20643840.

The previous prime is 82851827. The next prime is 82851851. The reversal of 82851840 is 4815828.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 82851795 and 82851804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672625 + ... + 2672655.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 2^82851840 is an apocalyptic number.

82851840 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 82851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

82851840 is an abundant number, since it is smaller than the sum of its proper divisors (223781760).

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

82851840 is a wasteful number, since it uses less digits than its factorization.

82851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 82851840 is about 9102.2986107906. The cubic root of 82851840 is about 435.9473605894.

The spelling of 82851840 in words is "eighty-two million, eight hundred fifty-one thousand, eight hundred forty".