83996352 has 168 divisors, whose sum is σ = 272930112. Its totient is φ = 25401600.

The previous prime is 83996351. The next prime is 83996369. The reversal of 83996352 is 25369938.

83996352 is a `hidden beast` number, since 8 + 3 + 9 + 9 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83996298 and 83996307.

It is not an unprimeable number, because it can be changed into a prime (83996351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170827 + ... + 171317.

It is an arithmetic number, because the mean of its divisors is an integer number (1624584).

Almost surely, 2^83996352 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 83996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136465056).

83996352 is an abundant number, since it is smaller than the sum of its proper divisors (188933760).

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

83996352 is a wasteful number, since it uses less digits than its factorization.

83996352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 83996352 is about 9164.9523730350. The cubic root of 83996352 is about 437.9455740217.

It can be divided in two parts, 83996 and 352, that multiplied together give a palindrome (29566592).

The spelling of 83996352 in words is "eighty-three million, nine hundred ninety-six thousand, three hundred fifty-two".