83516940 has 96 divisors (see below), whose sum is σ = 279840960. Its totient is φ = 20556288.

The previous prime is 83516929. The next prime is 83516941. The reversal of 83516940 is 4961538.

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

It is a junction number, because it is equal to n+sod(n) for n = 83516895 and 83516904.

It is not an unprimeable number, because it can be changed into a prime (83516941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (2915010).

Almost surely, 2^83516940 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 83516940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139920480).

83516940 is an abundant number, since it is smaller than the sum of its proper divisors (196324020).

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

83516940 is a wasteful number, since it uses less digits than its factorization.

83516940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83516940 is about 9138.7603098013. The cubic root of 83516940 is about 437.1107874535.

The spelling of 83516940 in words is "eighty-three million, five hundred sixteen thousand, nine hundred forty".