83216840 has 64 divisors (see below), whose sum is σ = 214790400. Its totient is φ = 28424448.

The previous prime is 83216821. The next prime is 83216843. The reversal of 83216840 is 4861238.

It is a junction number, because it is equal to n+sod(n) for n = 83216797 and 83216806.

It is not an unprimeable number, because it can be changed into a prime (83216843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122582 + ... + 123258.

It is an arithmetic number, because the mean of its divisors is an integer number (3356100).

Almost surely, 2^83216840 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 83216840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107395200).

83216840 is an abundant number, since it is smaller than the sum of its proper divisors (131573560).

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

83216840 is a wasteful number, since it uses less digits than its factorization.

83216840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 83216840 is about 9122.3264576532. The cubic root of 83216840 is about 436.5866048531.

The spelling of 83216840 in words is "eighty-three million, two hundred sixteen thousand, eight hundred forty".