85434160 has 120 divisors (see below), whose sum is σ = 236422368. Its totient is φ = 28108800.

The previous prime is 85434143. The next prime is 85434161. The reversal of 85434160 is 6143458.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85434161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400530 + ... + 1400590.

Almost surely, 2^85434160 is an apocalyptic number.

85434160 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 85434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118211184).

85434160 is an abundant number, since it is smaller than the sum of its proper divisors (150988208).

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

85434160 is a wasteful number, since it uses less digits than its factorization.

85434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 85434160 is about 9243.0600993394. The cubic root of 85434160 is about 440.4302953116.

The spelling of 85434160 in words is "eighty-five million, four hundred thirty-four thousand, one hundred sixty".