83218680 has 96 divisors (see below), whose sum is σ = 271776960. Its totient is φ = 22083840.

The previous prime is 83218657. The next prime is 83218693. The reversal of 83218680 is 8681238.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97134 + ... + 97986.

It is an arithmetic number, because the mean of its divisors is an integer number (2831010).

Almost surely, 2^83218680 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 83218680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135888480).

83218680 is an abundant number, since it is smaller than the sum of its proper divisors (188558280).

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

83218680 is a wasteful number, since it uses less digits than its factorization.

83218680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 83218680 is about 9122.4273085621. The cubic root of 83218680 is about 436.5898226050.

The spelling of 83218680 in words is "eighty-three million, two hundred eighteen thousand, six hundred eighty".