85955716 has 48 divisors (see below), whose sum is σ = 188899200. Its totient is φ = 33246720.

The previous prime is 85955657. The next prime is 85955719. The reversal of 85955716 is 61755958.

85955716 is a nontrivial binomial coefficient, being equal to C(13112, 2).

It is a super-2 number, since 2×85955716² = 14776770226145312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85955719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44956 + ... + 46828.

It is an arithmetic number, because the mean of its divisors is an integer number (3935400).

Almost surely, 2^85955716 is an apocalyptic number.

85955716 is the 13111-st triangular number and also the 6556-th hexagonal number.

85955716 is the 4371-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85955716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94449600).

85955716 is an abundant number, since it is smaller than the sum of its proper divisors (102943484).

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

85955716 is a wasteful number, since it uses less digits than its factorization.

85955716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2042 counting only the distinct ones).

The product of its digits is 378000, while the sum is 46.

The square root of 85955716 is about 9271.2305547861. The cubic root of 85955716 is about 441.3247197495.

The spelling of 85955716 in words is "eighty-five million, nine hundred fifty-five thousand, seven hundred sixteen".