86052330 has 288 divisors, whose sum is σ = 298771200. Its totient is φ = 16982784.

The previous prime is 86052313. The next prime is 86052359. The reversal of 86052330 is 3325068.

86052330 = 98² + 99² + ... + 637².

86052330 is a `hidden beast` number, since 8 + 605 + 23 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86052294 and 86052303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1089231 + ... + 1089309.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^86052330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86052330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

86052330 is an abundant number, since it is smaller than the sum of its proper divisors (212718870).

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

86052330 is a wasteful number, since it uses less digits than its factorization.

86052330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 86052330 is about 9276.4395109331. The cubic root of 86052330 is about 441.4900071144.

Adding to 86052330 its reverse (3325068), we get a palindrome (89377398).

The spelling of 86052330 in words is "eighty-six million, fifty-two thousand, three hundred thirty".