83814024 has 128 divisors (see below), whose sum is σ = 253440000. Its totient is φ = 22581504.

The previous prime is 83814007. The next prime is 83814037. The reversal of 83814024 is 42041838.

It is a Cunningham number, because it is equal to 9155²-1.

It is a junction number, because it is equal to n+sod(n) for n = 83813982 and 83814000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421077 + ... + 421275.

It is an arithmetic number, because the mean of its divisors is an integer number (1980000).

Almost surely, 2^83814024 is an apocalyptic number.

83814024 is a gapful number since it is divisible by the number (84) 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 83814024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720000).

83814024 is an abundant number, since it is smaller than the sum of its proper divisors (169625976).

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

83814024 is a wasteful number, since it uses less digits than its factorization.

83814024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 83814024 is about 9154.9999453850. Note that the first 4 decimals coincide. The cubic root of 83814024 is about 437.6284666546.

The spelling of 83814024 in words is "eighty-three million, eight hundred fourteen thousand, twenty-four".