82053864 has 64 divisors (see below), whose sum is σ = 234110400. Its totient is φ = 26609472.

The previous prime is 82053863. The next prime is 82053871. The reversal of 82053864 is 46835028.

82053864 = T₂₀₂ + T₂₀₃ + ... + T₇₉₃.

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

It is not an unprimeable number, because it can be changed into a prime (82053863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2859 + ... + 13125.

It is an arithmetic number, because the mean of its divisors is an integer number (3657975).

Almost surely, 2^82053864 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 82053864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117055200).

82053864 is an abundant number, since it is smaller than the sum of its proper divisors (152056536).

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

82053864 is a wasteful number, since it uses less digits than its factorization.

82053864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82053864 is about 9058.3587917459. The cubic root of 82053864 is about 434.5432542397.

The spelling of 82053864 in words is "eighty-two million, fifty-three thousand, eight hundred sixty-four".