85700916 has 120 divisors (see below), whose sum is σ = 265077120. Its totient is φ = 23623488.

The previous prime is 85700897. The next prime is 85700929. The reversal of 85700916 is 61900758.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65121 + ... + 66423.

It is an arithmetic number, because the mean of its divisors is an integer number (2208976).

Almost surely, 2^85700916 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 85700916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132538560).

85700916 is an abundant number, since it is smaller than the sum of its proper divisors (179376204).

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

85700916 is a wasteful number, since it uses less digits than its factorization.

85700916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 85700916 is about 9257.4789224713. The cubic root of 85700916 is about 440.8882126766. Note that the first 3 decimals are identical.

The spelling of 85700916 in words is "eighty-five million, seven hundred thousand, nine hundred sixteen".