83968380 has 96 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 22201920.

The previous prime is 83968351. The next prime is 83968393. The reversal of 83968380 is 8386938.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 70147 + ... + 71333.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^83968380 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 83968380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

83968380 is an abundant number, since it is smaller than the sum of its proper divisors (179482500).

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

83968380 is a wasteful number, since it uses less digits than its factorization.

83968380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 83968380 is about 9163.4262151228. The cubic root of 83968380 is about 437.8969545543.

It can be divided in two parts, 83968 and 380, that added together give a palindrome (84348).

The spelling of 83968380 in words is "eighty-three million, nine hundred sixty-eight thousand, three hundred eighty".