85735512 has 48 divisors (see below), whose sum is σ = 238483440. Its totient is φ = 27805248.

The previous prime is 85735511. The next prime is 85735519. The reversal of 85735512 is 21553758.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85735511) 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 11 ways as a sum of consecutive naturals, for example, 13428 + ... + 18755.

It is an arithmetic number, because the mean of its divisors is an integer number (4968405).

Almost surely, 2^85735512 is an apocalyptic number.

It is an amenable number.

85735512 is an abundant number, since it is smaller than the sum of its proper divisors (152747928).

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

85735512 is a wasteful number, since it uses less digits than its factorization.

85735512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32232 (or 32225 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 85735512 is about 9259.3472772113. The cubic root of 85735512 is about 440.9475310492.

The spelling of 85735512 in words is "eighty-five million, seven hundred thirty-five thousand, five hundred twelve".