82853376 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 24477696.

The previous prime is 82853369. The next prime is 82853399. The reversal of 82853376 is 67335828.

Its product of digits (241920) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496045 + ... + 496211.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^82853376 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 82853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

82853376 is an abundant number, since it is smaller than the sum of its proper divisors (164630784).

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

82853376 is a wasteful number, since it uses less digits than its factorization.

82853376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 82853376 is about 9102.3829846914. The cubic root of 82853376 is about 435.9500545992.

The spelling of 82853376 in words is "eighty-two million, eight hundred fifty-three thousand, three hundred seventy-six".