85952160 has 144 divisors (see below), whose sum is σ = 335252736. Its totient is φ = 19643904.

The previous prime is 85952149. The next prime is 85952177. The reversal of 85952160 is 6125958.

It is a happy number.

85952160 is a `hidden beast` number, since 8 + 595 + 2 + 1 + 60 = 666.

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

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

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, 5817 + ... + 14343.

It is an arithmetic number, because the mean of its divisors is an integer number (2328144).

Almost surely, 2^85952160 is an apocalyptic number.

85952160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167626368).

85952160 is an abundant number, since it is smaller than the sum of its proper divisors (249300576).

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

85952160 is a wasteful number, since it uses less digits than its factorization.

85952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85952160 is about 9271.0387767499. The cubic root of 85952160 is about 441.3186337771.

The spelling of 85952160 in words is "eighty-five million, nine hundred fifty-two thousand, one hundred sixty".