83946636 has 144 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 24727680.

The previous prime is 83946631. The next prime is 83946641. The reversal of 83946636 is 63664938.

83946636 is a `hidden beast` number, since 8 + 3 + 9 + 4 + 6 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (83946631) and next prime (83946641).

It is a junction number, because it is equal to n+sod(n) for n = 83946591 and 83946600.

It is not an unprimeable number, because it can be changed into a prime (83946631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784495 + ... + 784601.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2^83946636 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 83946636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

83946636 is an abundant number, since it is smaller than the sum of its proper divisors (155070324).

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

83946636 is a wasteful number, since it uses less digits than its factorization.

83946636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 83946636 is about 9162.2396825230. The cubic root of 83946636 is about 437.8591528112.

The spelling of 83946636 in words is "eighty-three million, nine hundred forty-six thousand, six hundred thirty-six".