75986064 has 270 divisors, whose sum is σ = 274962870. Its totient is φ = 19514880.

The previous prime is 75986033. The next prime is 75986083. The reversal of 75986064 is 46068957.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 21344400 = 7392^2 + 4620^2 .

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 853732 + ... + 853820.

It is an arithmetic number, because the mean of its divisors is an integer number (1018381).

Almost surely, 2^75986064 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 75986064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137481435).

75986064 is an abundant number, since it is smaller than the sum of its proper divisors (198976806).

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

75986064 is a wasteful number, since it uses less digits than its factorization.

75986064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 75986064 is about 8716.9985660203. The cubic root of 75986064 is about 423.5564663001.

The spelling of 75986064 in words is "seventy-five million, nine hundred eighty-six thousand, sixty-four".