83256390 has 256 divisors, whose sum is σ = 276480000. Its totient is φ = 17781120.

The previous prime is 83256377. The next prime is 83256391. The reversal of 83256390 is 9365238.

83256390 is a `hidden beast` number, since 8 + 3 + 2 + 563 + 90 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83256391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2685675 + ... + 2685705.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 2^83256390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83256390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240000).

83256390 is an abundant number, since it is smaller than the sum of its proper divisors (193223610).

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

83256390 is a wasteful number, since it uses less digits than its factorization.

83256390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 83256390 is about 9124.4939585711. The cubic root of 83256390 is about 436.6557585864.

The spelling of 83256390 in words is "eighty-three million, two hundred fifty-six thousand, three hundred ninety".