85653216 has 144 divisors (see below), whose sum is σ = 279901440. Its totient is φ = 24572160.

The previous prime is 85653203. The next prime is 85653221. The reversal of 85653216 is 61235658.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×85653216² = 14672946822285312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59481 + ... + 60903.

It is an arithmetic number, because the mean of its divisors is an integer number (1943760).

Almost surely, 2^85653216 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 85653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139950720).

85653216 is an abundant number, since it is smaller than the sum of its proper divisors (194248224).

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

85653216 is a wasteful number, since it uses less digits than its factorization.

85653216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 85653216 is about 9254.9022685277. The cubic root of 85653216 is about 440.8063999738.

It can be divided in two parts, 8565 and 3216, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 85653216 in words is "eighty-five million, six hundred fifty-three thousand, two hundred sixteen".