82352864 has 48 divisors (see below), whose sum is σ = 182601216. Its totient is φ = 36220800.

The previous prime is 82352863. The next prime is 82352923. The reversal of 82352864 is 46825328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82352863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7139 + ... + 14685.

It is an arithmetic number, because the mean of its divisors is an integer number (3804192).

Almost surely, 2^82352864 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 82352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91300608).

82352864 is an abundant number, since it is smaller than the sum of its proper divisors (100248352).

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

82352864 is a wasteful number, since it uses less digits than its factorization.

82352864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7591 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 82352864 is about 9074.8478775129. The cubic root of 82352864 is about 435.0704320711.

The spelling of 82352864 in words is "eighty-two million, three hundred fifty-two thousand, eight hundred sixty-four".