85760064 has 126 divisors (see below), whose sum is σ = 266481306. Its totient is φ = 26357760.

The previous prime is 85760057. The next prime is 85760089. The reversal of 85760064 is 46006758.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 83174400 = 1608^2 + 9120^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96904 + ... + 97784.

It is an arithmetic number, because the mean of its divisors is an integer number (2114931).

Almost surely, 2^85760064 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 85760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133240653).

85760064 is an abundant number, since it is smaller than the sum of its proper divisors (180721242).

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

85760064 is a wasteful number, since it uses less digits than its factorization.

85760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85760064 is about 9260.6729777052. The cubic root of 85760064 is about 440.9896182787.

The spelling of 85760064 in words is "eighty-five million, seven hundred sixty thousand, sixty-four".