83739840 has 112 divisors (see below), whose sum is σ = 279928320. Its totient is φ = 21150720.

The previous prime is 83739829. The next prime is 83739869. The reversal of 83739840 is 4893738.

It is a junction number, because it is equal to n+sod(n) for n = 83739792 and 83739801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15945 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (2499360).

Almost surely, 2^83739840 is an apocalyptic number.

83739840 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 83739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139964160).

83739840 is an abundant number, since it is smaller than the sum of its proper divisors (196188480).

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

83739840 is a wasteful number, since it uses less digits than its factorization.

83739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 83739840 is about 9150.9474919267. The cubic root of 83739840 is about 437.4993131962.

The spelling of 83739840 in words is "eighty-three million, seven hundred thirty-nine thousand, eight hundred forty".