85756736 has 56 divisors (see below), whose sum is σ = 186476640. Its totient is φ = 38886912.

The previous prime is 85756733. The next prime is 85756739. The reversal of 85756736 is 63765758.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85756733) and next prime (85756739).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85756733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48215 + ... + 49961.

It is an arithmetic number, because the mean of its divisors is an integer number (3329940).

Almost surely, 2^85756736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93238320).

85756736 is an abundant number, since it is smaller than the sum of its proper divisors (100719904).

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

85756736 is a wasteful number, since it uses less digits than its factorization.

85756736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1821 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 85756736 is about 9260.4932913965. The cubic root of 85756736 is about 440.9839138659.

The spelling of 85756736 in words is "eighty-five million, seven hundred fifty-six thousand, seven hundred thirty-six".