85976436 has 96 divisors (see below), whose sum is σ = 252786688. Its totient is φ = 22135680.

The previous prime is 85976417. The next prime is 85976437. The reversal of 85976436 is 63467958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85976437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46041 + ... + 47871.

Almost surely, 2^85976436 is an apocalyptic number.

85976436 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85976436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393344).

85976436 is an abundant number, since it is smaller than the sum of its proper divisors (166810252).

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

85976436 is a wasteful number, since it uses less digits than its factorization.

85976436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1899 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 85976436 is about 9272.3479227216. The cubic root of 85976436 is about 441.3601779829.

The spelling of 85976436 in words is "eighty-five million, nine hundred seventy-six thousand, four hundred thirty-six".