85398768 has 300 divisors, whose sum is σ = 316064840. Its totient is φ = 21337344.

The previous prime is 85398767. The next prime is 85398773. The reversal of 85398768 is 86789358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85398767) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4494663 + ... + 4494681.

Almost surely, 2^85398768 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 85398768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158032420).

85398768 is an abundant number, since it is smaller than the sum of its proper divisors (230666072).

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

85398768 is a wasteful number, since it uses less digits than its factorization.

85398768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

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

The square root of 85398768 is about 9241.1453835550. The cubic root of 85398768 is about 440.3694692831.

The spelling of 85398768 in words is "eighty-five million, three hundred ninety-eight thousand, seven hundred sixty-eight".