82357632 has 144 divisors (see below), whose sum is σ = 275874300. Its totient is φ = 23514624.

The previous prime is 82357631. The next prime is 82357697. The reversal of 82357632 is 23675328.

82357632 is a `hidden beast` number, since 82 + 3 + 576 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82357631) 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 17 ways as a sum of consecutive naturals, for example, 55719 + ... + 57177.

Almost surely, 2^82357632 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 82357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137937150).

82357632 is an abundant number, since it is smaller than the sum of its proper divisors (193516668).

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

82357632 is a wasteful number, since it uses less digits than its factorization.

82357632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1471 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 82357632 is about 9075.1105778387. The cubic root of 82357632 is about 435.0788283619.

The spelling of 82357632 in words is "eighty-two million, three hundred fifty-seven thousand, six hundred thirty-two".