83852064 has 192 divisors, whose sum is σ = 261233280. Its totient is φ = 26127360.

The previous prime is 83852063. The next prime is 83852071. The reversal of 83852064 is 46025838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83852063) 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, 1374594 + ... + 1374654.

It is an arithmetic number, because the mean of its divisors is an integer number (1360590).

Almost surely, 2^83852064 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 83852064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

83852064 is an abundant number, since it is smaller than the sum of its proper divisors (177381216).

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

83852064 is a wasteful number, since it uses less digits than its factorization.

83852064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83852064 is about 9157.0772629699. The cubic root of 83852064 is about 437.6946642834.

The spelling of 83852064 in words is "eighty-three million, eight hundred fifty-two thousand, sixty-four".