85746336 has 96 divisors (see below), whose sum is σ = 244758528. Its totient is φ = 26127360.

The previous prime is 85746289. The next prime is 85746347. The reversal of 85746336 is 63364758.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158226 + ... + 158766.

It is an arithmetic number, because the mean of its divisors is an integer number (2549568).

Almost surely, 2^85746336 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 85746336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122379264).

85746336 is an abundant number, since it is smaller than the sum of its proper divisors (159012192).

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

85746336 is a wasteful number, since it uses less digits than its factorization.

85746336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 85746336 is about 9259.9317492085. The cubic root of 85746336 is about 440.9660866245.

The spelling of 85746336 in words is "eighty-five million, seven hundred forty-six thousand, three hundred thirty-six".