85737088 has 32 divisors (see below), whose sum is σ = 171424260. Its totient is φ = 42713088.

The previous prime is 85737073. The next prime is 85737131. The reversal of 85737088 is 88073758.

It can be written as a sum of positive squares in 2 ways, for example, as 54287424 + 31449664 = 7368^2 + 5608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 39520 + ... + 41632.

Almost surely, 2^85737088 is an apocalyptic number.

It is an amenable number.

85737088 is a deficient number, since it is larger than the sum of its proper divisors (85687172).

85737088 is a wasteful number, since it uses less digits than its factorization.

85737088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 85737088 is about 9259.4323800112. The cubic root of 85737088 is about 440.9502328820.

The spelling of 85737088 in words is "eighty-five million, seven hundred thirty-seven thousand, eighty-eight".