83792256 has 64 divisors (see below), whose sum is σ = 229785600. Its totient is φ = 27025920.

The previous prime is 83792237. The next prime is 83792257. The reversal of 83792256 is 65229738.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×83792256² = 14042284331139072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83792257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8385 + ... + 15423.

It is an arithmetic number, because the mean of its divisors is an integer number (3590400).

Almost surely, 2^83792256 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 83792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114892800).

83792256 is an abundant number, since it is smaller than the sum of its proper divisors (145993344).

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

83792256 is a wasteful number, since it uses less digits than its factorization.

83792256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7075 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 83792256 is about 9153.8110096287. The cubic root of 83792256 is about 437.5905767294.

It can be divided in two parts, 83792 and 256, that added together give a palindrome (84048).

The spelling of 83792256 in words is "eighty-three million, seven hundred ninety-two thousand, two hundred fifty-six".