83863312 has 80 divisors (see below), whose sum is σ = 190581552. Its totient is φ = 35389440.

The previous prime is 83863279. The next prime is 83863333. The reversal of 83863312 is 21336838.

It can be written as a sum of positive squares in 8 ways, for example, as 13571856 + 70291456 = 3684^2 + 8384^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130512 + ... + 131152.

Almost surely, 2^83863312 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 83863312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95290776).

83863312 is an abundant number, since it is smaller than the sum of its proper divisors (106718240).

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

83863312 is a wasteful number, since it uses less digits than its factorization.

83863312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 83863312 is about 9157.6914121409. The cubic root of 83863312 is about 437.7142343422.

The spelling of 83863312 in words is "eighty-three million, eight hundred sixty-three thousand, three hundred twelve".