83643980 has 96 divisors (see below), whose sum is σ = 208656000. Its totient is φ = 28148736.

The previous prime is 83643979. The next prime is 83644007. The reversal of 83643980 is 8934638.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610472 + ... + 610608.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 2^83643980 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 83643980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104328000).

83643980 is an abundant number, since it is smaller than the sum of its proper divisors (125012020).

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

83643980 is a wasteful number, since it uses less digits than its factorization.

83643980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 83643980 is about 9145.7082831238. The cubic root of 83643980 is about 437.3323090667.

It can be divided in two parts, 8364 and 3980, that multiplied together give a triangular number (33288720 = T₈₁₅₉).

The spelling of 83643980 in words is "eighty-three million, six hundred forty-three thousand, nine hundred eighty".