85460916 has 48 divisors (see below), whose sum is σ = 208857600. Its totient is φ = 27146592.

The previous prime is 85460911. The next prime is 85460923. The reversal of 85460916 is 61906458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85460911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115275 + ... + 116013.

It is an arithmetic number, because the mean of its divisors is an integer number (4351200).

Almost surely, 2^85460916 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 85460916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104428800).

85460916 is an abundant number, since it is smaller than the sum of its proper divisors (123396684).

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

85460916 is a wasteful number, since it uses less digits than its factorization.

85460916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85460916 is about 9244.5073422006. The cubic root of 85460916 is about 440.4762680350.

The spelling of 85460916 in words is "eighty-five million, four hundred sixty thousand, nine hundred sixteen".