83946408 has 288 divisors, whose sum is σ = 293983200. Its totient is φ = 19740672.

The previous prime is 83946407. The next prime is 83946413. The reversal of 83946408 is 80464938.

It is a super-2 number, since 2×83946408² = 14093998832204928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 83946408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83946407) 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 71 ways as a sum of consecutive naturals, for example, 4418223 + ... + 4418241.

It is an arithmetic number, because the mean of its divisors is an integer number (1020775).

Almost surely, 2^83946408 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 83946408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146991600).

83946408 is an abundant number, since it is smaller than the sum of its proper divisors (210036792).

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

83946408 is a wasteful number, since it uses less digits than its factorization.

83946408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 83946408 is about 9162.2272401420. The cubic root of 83946408 is about 437.8587564008.

The spelling of 83946408 in words is "eighty-three million, nine hundred forty-six thousand, four hundred eight".