83064852 has 180 divisors, whose sum is σ = 247381596. Its totient is φ = 24261120.

The previous prime is 83064829. The next prime is 83064887. The reversal of 83064852 is 25846038.

83064852 is a `hidden beast` number, since 8 + 3 + 0 + 648 + 5 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15397776 + 67667076 = 3924^2 + 8226^2 .

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2025952 + ... + 2025992.

Almost surely, 2^83064852 is an apocalyptic number.

83064852 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83064852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690798).

83064852 is an abundant number, since it is smaller than the sum of its proper divisors (164316744).

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

83064852 is a wasteful number, since it uses less digits than its factorization.

83064852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

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

The square root of 83064852 is about 9113.9921000624. The cubic root of 83064852 is about 436.3206476117.

The spelling of 83064852 in words is "eighty-three million, sixty-four thousand, eight hundred fifty-two".