83071456 has 48 divisors (see below), whose sum is σ = 176922144. Its totient is φ = 38168064.

The previous prime is 83071441. The next prime is 83071459. The reversal of 83071456 is 65417038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83071459) 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 7 ways as a sum of consecutive naturals, for example, 164901 + ... + 165403.

It is an arithmetic number, because the mean of its divisors is an integer number (3685878).

Almost surely, 2^83071456 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 83071456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88461072).

83071456 is an abundant number, since it is smaller than the sum of its proper divisors (93850688).

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

83071456 is a wasteful number, since it uses less digits than its factorization.

83071456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 83071456 is about 9114.3543929343. The cubic root of 83071456 is about 436.3322104052.

The spelling of 83071456 in words is "eighty-three million, seventy-one thousand, four hundred fifty-six".