82992384 has 72 divisors (see below), whose sum is σ = 245443520. Its totient is φ = 27661824.

The previous prime is 82992383. The next prime is 82992389. The reversal of 82992384 is 48329928.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82992383) 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 7 ways as a sum of consecutive naturals, for example, 909 + ... + 12915.

Almost surely, 2^82992384 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 82992384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122721760).

82992384 is an abundant number, since it is smaller than the sum of its proper divisors (162451136).

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

82992384 is a wasteful number, since it uses less digits than its factorization.

82992384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12012 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 82992384 is about 9110.0155872534. The cubic root of 82992384 is about 436.1937247574.

The spelling of 82992384 in words is "eighty-two million, nine hundred ninety-two thousand, three hundred eighty-four".