83641740 has 96 divisors (see below), whose sum is σ = 288261120. Its totient is φ = 17646336.

The previous prime is 83641709. The next prime is 83641741. The reversal of 83641740 is 4714638.

It is not an unprimeable number, because it can be changed into a prime (83641741) 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 31 ways as a sum of consecutive naturals, for example, 2200 + ... + 13119.

It is an arithmetic number, because the mean of its divisors is an integer number (3002720).

Almost surely, 2^83641740 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 83641740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144130560).

83641740 is an abundant number, since it is smaller than the sum of its proper divisors (204619380).

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

83641740 is a wasteful number, since it uses less digits than its factorization.

83641740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351 (or 15349 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 83641740 is about 9145.5858204929. The cubic root of 83641740 is about 437.3284050873.

The spelling of 83641740 in words is "eighty-three million, six hundred forty-one thousand, seven hundred forty".