83923840 has 256 divisors, whose sum is σ = 271434240. Its totient is φ = 23961600.

The previous prime is 83923823. The next prime is 83923877. The reversal of 83923840 is 4832938.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83923840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640575 + ... + 640705.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 2^83923840 is an apocalyptic number.

83923840 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 83923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

83923840 is an abundant number, since it is smaller than the sum of its proper divisors (187510400).

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

83923840 is a wasteful number, since it uses less digits than its factorization.

83923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 83923840 is about 9160.9955790842. The cubic root of 83923840 is about 437.8195151662.

The spelling of 83923840 in words is "eighty-three million, nine hundred twenty-three thousand, eight hundred forty".