85149756 has 18 divisors (see below), whose sum is σ = 215239752. Its totient is φ = 28383240.

The previous prime is 85149739. The next prime is 85149781. The reversal of 85149756 is 65794158.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1182600 + ... + 1182671.

It is an arithmetic number, because the mean of its divisors is an integer number (11957764).

Almost surely, 2^85149756 is an apocalyptic number.

It is an amenable number.

85149756 is an abundant number, since it is smaller than the sum of its proper divisors (130089996).

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

85149756 is a wasteful number, since it uses less digits than its factorization.

85149756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365281 (or 2365276 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 85149756 is about 9227.6625425944. The cubic root of 85149756 is about 439.9410320425.

It can be divided in two parts, 85149 and 756, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85149756 in words is "eighty-five million, one hundred forty-nine thousand, seven hundred fifty-six".