85037664 has 72 divisors (see below), whose sum is σ = 228643128. Its totient is φ = 27673600.

The previous prime is 85037653. The next prime is 85037677. The reversal of 85037664 is 46673058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211864 + ... + 212264.

It is an arithmetic number, because the mean of its divisors is an integer number (3175599).

Almost surely, 2^85037664 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 85037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114321564).

85037664 is an abundant number, since it is smaller than the sum of its proper divisors (143605464).

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

85037664 is a wasteful number, since it uses less digits than its factorization.

85037664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 85037664 is about 9221.5868482599. The cubic root of 85037664 is about 439.7478996625.

The spelling of 85037664 in words is "eighty-five million, thirty-seven thousand, six hundred sixty-four".