85330368 has 224 divisors, whose sum is σ = 277977600. Its totient is φ = 25546752.

The previous prime is 85330367. The next prime is 85330369. The reversal of 85330368 is 86303358.

It is an interprime number because it is at equal distance from previous prime (85330367) and next prime (85330369).

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 (85330367) 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, 755080 + ... + 755192.

Almost surely, 2^85330368 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 85330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

85330368 is an abundant number, since it is smaller than the sum of its proper divisors (192647232).

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

85330368 is a wasteful number, since it uses less digits than its factorization.

85330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 85330368 is about 9237.4438022648. The cubic root of 85330368 is about 440.2518668170.

The spelling of 85330368 in words is "eighty-five million, three hundred thirty thousand, three hundred sixty-eight".