85616544 has 96 divisors (see below), whose sum is σ = 249951744. Its totient is φ = 25482240.

The previous prime is 85616543. The next prime is 85616551. The reversal of 85616544 is 44561658.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (85616543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37582 + ... + 39794.

It is an arithmetic number, because the mean of its divisors is an integer number (2603664).

Almost surely, 2^85616544 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 85616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124975872).

85616544 is an abundant number, since it is smaller than the sum of its proper divisors (164335200).

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

85616544 is a wasteful number, since it uses less digits than its factorization.

85616544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2262 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 85616544 is about 9252.9208361468. The cubic root of 85616544 is about 440.7434813016.

It can be divided in two parts, 8561654 and 4, that added together give a palindrome (8561658).

The spelling of 85616544 in words is "eighty-five million, six hundred sixteen thousand, five hundred forty-four".