83850648 has 128 divisors (see below), whose sum is σ = 255552000. Its totient is φ = 22394880.

The previous prime is 83850643. The next prime is 83850653. The reversal of 83850648 is 84605838.

It is a Cunningham number, because it is equal to 9157²-1.

It is an interprime number because it is at equal distance from previous prime (83850643) and next prime (83850653).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83850643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347808 + ... + 348048.

It is an arithmetic number, because the mean of its divisors is an integer number (1996500).

Almost surely, 2^83850648 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 83850648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127776000).

83850648 is an abundant number, since it is smaller than the sum of its proper divisors (171701352).

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

83850648 is a wasteful number, since it uses less digits than its factorization.

83850648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 83850648 is about 9156.9999453970. Note that the first 4 decimals coincide. The cubic root of 83850648 is about 437.6922005034.

The spelling of 83850648 in words is "eighty-three million, eight hundred fifty thousand, six hundred forty-eight".