83819040 has 192 divisors, whose sum is σ = 281014272. Its totient is φ = 20966400.

The previous prime is 83819033. The next prime is 83819041. The reversal of 83819040 is 4091838.

It is a junction number, because it is equal to n+sod(n) for n = 83818992 and 83819010.

It is not an unprimeable number, because it can be changed into a prime (83819041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639775 + ... + 639905.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 2^83819040 is an apocalyptic number.

83819040 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 83819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140507136).

83819040 is an abundant number, since it is smaller than the sum of its proper divisors (197195232).

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

83819040 is a wasteful number, since it uses less digits than its factorization.

83819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 83819040 is about 9155.2738899500. The cubic root of 83819040 is about 437.6371966995.

The spelling of 83819040 in words is "eighty-three million, eight hundred nineteen thousand, forty".