83741760 has 84 divisors (see below), whose sum is σ = 288046668. Its totient is φ = 22330368.

The previous prime is 83741747. The next prime is 83741761. The reversal of 83741760 is 6714738.

It can be written as a sum of positive squares in 2 ways, for example, as 49449024 + 34292736 = 7032^2 + 5856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83741761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11659 + ... + 17418.

It is an arithmetic number, because the mean of its divisors is an integer number (3429127).

Almost surely, 2^83741760 is an apocalyptic number.

83741760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83741760 is an abundant number, since it is smaller than the sum of its proper divisors (204304908).

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

83741760 is a wasteful number, since it uses less digits than its factorization.

83741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29100 (or 29087 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 83741760 is about 9151.0523984949. The cubic root of 83741760 is about 437.5026568546.

The spelling of 83741760 in words is "eighty-three million, seven hundred forty-one thousand, seven hundred sixty".