85352560 has 80 divisors (see below), whose sum is σ = 210656160. Its totient is φ = 32071680.

The previous prime is 85352551. The next prime is 85352569. The reversal of 85352560 is 6525358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85352551) and next prime (85352569).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85352569) 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, 354040 + ... + 354280.

It is an arithmetic number, because the mean of its divisors is an integer number (2633202).

Almost surely, 2^85352560 is an apocalyptic number.

85352560 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 85352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080).

85352560 is an abundant number, since it is smaller than the sum of its proper divisors (125303600).

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

85352560 is a wasteful number, since it uses less digits than its factorization.

85352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 85352560 is about 9238.6449222816. The cubic root of 85352560 is about 440.2900291689.

The spelling of 85352560 in words is "eighty-five million, three hundred fifty-two thousand, five hundred sixty".