85736520 has 48 divisors (see below), whose sum is σ = 278644860. Its totient is φ = 22862976.

The previous prime is 85736513. The next prime is 85736527. The reversal of 85736520 is 2563758.

85736520 is a `hidden beast` number, since 8 + 573 + 65 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (85736513) and next prime (85736527).

It can be written as a sum of positive squares in 2 ways, for example, as 85488516 + 248004 = 9246^2 + 498^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (85736527) 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, 118719 + ... + 119438.

Almost surely, 2^85736520 is an apocalyptic number.

It is an amenable number.

85736520 is an abundant number, since it is smaller than the sum of its proper divisors (192908340).

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

85736520 is a wasteful number, since it uses less digits than its factorization.

85736520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238174 (or 238167 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85736520 is about 9259.4017085339. The cubic root of 85736520 is about 440.9492591288.

The spelling of 85736520 in words is "eighty-five million, seven hundred thirty-six thousand, five hundred twenty".