85134960 has 240 divisors, whose sum is σ = 307105344. Its totient is φ = 21086208.

The previous prime is 85134949. The next prime is 85134971. The reversal of 85134960 is 6943158.

It is an interprime number because it is at equal distance from previous prime (85134949) and next prime (85134971).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×85134960² = 14495922828403200, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877632 + ... + 877728.

Almost surely, 2^85134960 is an apocalyptic number.

85134960 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 85134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

85134960 is an abundant number, since it is smaller than the sum of its proper divisors (221970384).

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

85134960 is a wasteful number, since it uses less digits than its factorization.

85134960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85134960 is about 9226.8607879387. The cubic root of 85134960 is about 439.9155485301.

The spelling of 85134960 in words is "eighty-five million, one hundred thirty-four thousand, nine hundred sixty".