85719816 has 256 divisors, whose sum is σ = 302400000. Its totient is φ = 22353408.

The previous prime is 85719779. The next prime is 85719817. The reversal of 85719816 is 61891758.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (85719817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963100 + ... + 963188.

It is an arithmetic number, because the mean of its divisors is an integer number (1181250).

Almost surely, 2^85719816 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 85719816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

85719816 is an abundant number, since it is smaller than the sum of its proper divisors (216680184).

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

85719816 is a wasteful number, since it uses less digits than its factorization.

85719816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 85719816 is about 9258.4996624723. The cubic root of 85719816 is about 440.9206206333.

The spelling of 85719816 in words is "eighty-five million, seven hundred nineteen thousand, eight hundred sixteen".