83706912 has 192 divisors, whose sum is σ = 266716800. Its totient is φ = 25436160.

The previous prime is 83706901. The next prime is 83706923. The reversal of 83706912 is 21960738.

It is an interprime number because it is at equal distance from previous prime (83706901) and next prime (83706923).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 602139 + ... + 602277.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^83706912 is an apocalyptic number.

83706912 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83706912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

83706912 is an abundant number, since it is smaller than the sum of its proper divisors (183009888).

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

83706912 is a wasteful number, since it uses less digits than its factorization.

83706912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 83706912 is about 9149.1481570691. The cubic root of 83706912 is about 437.4419614983.

The spelling of 83706912 in words is "eighty-three million, seven hundred six thousand, nine hundred twelve".