83264112 has 100 divisors (see below), whose sum is σ = 247025856. Its totient is φ = 27060480.

The previous prime is 83264089. The next prime is 83264131. The reversal of 83264112 is 21146238.

83264112 is a `hidden beast` number, since 8 + 3 + 2 + 641 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52353 + ... + 53919.

Almost surely, 2^83264112 is an apocalyptic number.

83264112 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 83264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123512928).

83264112 is an abundant number, since it is smaller than the sum of its proper divisors (163761744).

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

83264112 is a wasteful number, since it uses less digits than its factorization.

83264112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1613 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83264112 is about 9124.9170955138. The cubic root of 83264112 is about 436.6692580569.

The spelling of 83264112 in words is "eighty-three million, two hundred sixty-four thousand, one hundred twelve".