85785744 has 40 divisors (see below), whose sum is σ = 241761312. Its totient is φ = 25995520.

The previous prime is 85785737. The next prime is 85785751. The reversal of 85785744 is 44758758.

It is an interprime number because it is at equal distance from previous prime (85785737) and next prime (85785751).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 85785693 and 85785702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80709 + ... + 81764.

Almost surely, 2^85785744 is an apocalyptic number.

It is an amenable number.

85785744 is an abundant number, since it is smaller than the sum of its proper divisors (155975568).

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

85785744 is a wasteful number, since it uses less digits than its factorization.

85785744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162495 (or 162489 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 85785744 is about 9262.0593822324. The cubic root of 85785744 is about 441.0336305408.

The spelling of 85785744 in words is "eighty-five million, seven hundred eighty-five thousand, seven hundred forty-four".