85065552 has 320 divisors, whose sum is σ = 307480320. Its totient is φ = 22394880.

The previous prime is 85065521. The next prime is 85065593. The reversal of 85065552 is 25556058.

It is a super-2 number, since 2×85065552² = 14472296274129408, 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 63 ways as a sum of consecutive naturals, for example, 5003848 + ... + 5003864.

It is an arithmetic number, because the mean of its divisors is an integer number (960876).

Almost surely, 2^85065552 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 85065552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

85065552 is an abundant number, since it is smaller than the sum of its proper divisors (222414768).

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

85065552 is a wasteful number, since it uses less digits than its factorization.

85065552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 85065552 is about 9223.0988284849. The cubic root of 85065552 is about 439.7959660073.

The spelling of 85065552 in words is "eighty-five million, sixty-five thousand, five hundred fifty-two".