83437120 has 112 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 29767680.

The previous prime is 83437117. The next prime is 83437121. The reversal of 83437120 is 2173438.

It is not an unprimeable number, because it can be changed into a prime (83437121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128637 + ... + 129283.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^83437120 is an apocalyptic number.

83437120 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 83437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

83437120 is an abundant number, since it is smaller than the sum of its proper divisors (137774528).

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

83437120 is a wasteful number, since it uses less digits than its factorization.

83437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 83437120 is about 9134.3921527379. The cubic root of 83437120 is about 436.9714891498.

The spelling of 83437120 in words is "eighty-three million, four hundred thirty-seven thousand, one hundred twenty".