82323840 has 128 divisors (see below), whose sum is σ = 267688800. Its totient is φ = 21512192.

The previous prime is 82323833. The next prime is 82323889. The reversal of 82323840 is 4832328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82323798 and 82323807.

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, 101356 + ... + 102164.

Almost surely, 2^82323840 is an apocalyptic number.

82323840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133844400).

82323840 is an abundant number, since it is smaller than the sum of its proper divisors (185364960).

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

82323840 is a wasteful number, since it uses less digits than its factorization.

82323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82323840 is about 9073.2485913260. The cubic root of 82323840 is about 435.0193147719.

The spelling of 82323840 in words is "eighty-two million, three hundred twenty-three thousand, eight hundred forty".