82923920 has 40 divisors (see below), whose sum is σ = 194525496. Its totient is φ = 32872448.

The previous prime is 82923833. The next prime is 82923937. The reversal of 82923920 is 2932928.

It can be written as a sum of positive squares in 4 ways, for example, as 7997584 + 74926336 = 2828^2 + 8656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 4454 + ... + 13626.

Almost surely, 2^82923920 is an apocalyptic number.

82923920 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 82923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97262748).

82923920 is an abundant number, since it is smaller than the sum of its proper divisors (111601576).

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

82923920 is a wasteful number, since it uses less digits than its factorization.

With its successor (82923921) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (9293).

82923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 82923920 is about 9106.2571894275. The cubic root of 82923920 is about 436.0737467489.

The spelling of 82923920 in words is "eighty-two million, nine hundred twenty-three thousand, nine hundred twenty".