83949876 has 54 divisors (see below), whose sum is σ = 225451590. Its totient is φ = 26333952.

The previous prime is 83949871. The next prime is 83949881. The reversal of 83949876 is 67894938.

83949876 is a `hidden beast` number, since 83 + 9 + 498 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (83949871) and next prime (83949881).

It can be written as a sum of positive squares in 3 ways, for example, as 8259876 + 75690000 = 2874^2 + 8700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83949871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6370 + ... + 14438.

Almost surely, 2^83949876 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 83949876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112725795).

83949876 is an abundant number, since it is smaller than the sum of its proper divisors (141501714).

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

83949876 is a wasteful number, since it uses less digits than its factorization.

83949876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8091 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 83949876 is about 9162.4164934803. The cubic root of 83949876 is about 437.8647859351.

The spelling of 83949876 in words is "eighty-three million, nine hundred forty-nine thousand, eight hundred seventy-six".