83256684 has 72 divisors (see below), whose sum is σ = 239304240. Its totient is φ = 22385664.

The previous prime is 83256683. The next prime is 83256713. The reversal of 83256684 is 48665238.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (83256683) 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, 5832 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (3323670).

Almost surely, 2^83256684 is an apocalyptic number.

83256684 is a gapful number since it is divisible by the number (84) 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 83256684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119652120).

83256684 is an abundant number, since it is smaller than the sum of its proper divisors (156047556).

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

83256684 is a wasteful number, since it uses less digits than its factorization.

83256684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8358 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 83256684 is about 9124.5100690393. The cubic root of 83256684 is about 436.6562725676.

The spelling of 83256684 in words is "eighty-three million, two hundred fifty-six thousand, six hundred eighty-four".