83749060 has 48 divisors (see below), whose sum is σ = 182009520. Its totient is φ = 32348160.

The previous prime is 83749009. The next prime is 83749067. The reversal of 83749060 is 6094738.

It can be written as a sum of positive squares in 8 ways, for example, as 21307456 + 62441604 = 4616^2 + 7902^2 .

It is not an unprimeable number, because it can be changed into a prime (83749067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88912 + ... + 89848.

It is an arithmetic number, because the mean of its divisors is an integer number (3791865).

Almost surely, 2^83749060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83749060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91004760).

83749060 is an abundant number, since it is smaller than the sum of its proper divisors (98260460).

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

83749060 is a wasteful number, since it uses less digits than its factorization.

83749060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 83749060 is about 9151.4512510312. The cubic root of 83749060 is about 437.5153692560.

The spelling of 83749060 in words is "eighty-three million, seven hundred forty-nine thousand, sixty".