85575616 has 56 divisors (see below), whose sum is σ = 197038976. Its totient is φ = 36115200.

The previous prime is 85575613. The next prime is 85575649. The reversal of 85575616 is 61657558.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85575613) 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, 28591 + ... + 31441.

Almost surely, 2^85575616 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 85575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98519488).

85575616 is an abundant number, since it is smaller than the sum of its proper divisors (111463360).

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

85575616 is a wasteful number, since it uses less digits than its factorization.

85575616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2927 counting only the distinct ones).

The product of its digits is 252000, while the sum is 43.

The square root of 85575616 is about 9250.7089458052. The cubic root of 85575616 is about 440.6732393307.

The spelling of 85575616 in words is "eighty-five million, five hundred seventy-five thousand, six hundred sixteen".