83949606 has 96 divisors (see below), whose sum is σ = 206388000. Its totient is φ = 24482304.

The previous prime is 83949601. The next prime is 83949611. The reversal of 83949606 is 60694938.

83949606 is a `hidden beast` number, since 8 + 39 + 4 + 9 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (83949601) and next prime (83949611).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83949601) 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, 603885 + ... + 604023.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^83949606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83949606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

83949606 is an abundant number, since it is smaller than the sum of its proper divisors (122438394).

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

83949606 is a wasteful number, since it uses less digits than its factorization.

83949606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 83949606 is about 9162.4017593642. The cubic root of 83949606 is about 437.8643165137.

The spelling of 83949606 in words is "eighty-three million, nine hundred forty-nine thousand, six hundred six".