83785968 has 160 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 23618304.

The previous prime is 83785967. The next prime is 83786039. The reversal of 83785968 is 86958738.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83785967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311338 + ... + 311606.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^83785968 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 83785968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

83785968 is an abundant number, since it is smaller than the sum of its proper divisors (194767632).

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

83785968 is a wasteful number, since it uses less digits than its factorization.

83785968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 83785968 is about 9153.4675396813. The cubic root of 83785968 is about 437.5796304578.

The spelling of 83785968 in words is "eighty-three million, seven hundred eighty-five thousand, nine hundred sixty-eight".