85484160 has 320 divisors, whose sum is σ = 326569320. Its totient is φ = 21233664.

The previous prime is 85484149. The next prime is 85484167. The reversal of 85484160 is 6148458.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 9585216 = 8712^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×85484160² = 14615083221811200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85484167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881232 + ... + 881328.

Almost surely, 2^85484160 is an apocalyptic number.

85484160 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 85484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163284660).

85484160 is an abundant number, since it is smaller than the sum of its proper divisors (241085160).

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

85484160 is a wasteful number, since it uses less digits than its factorization.

85484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85484160 is about 9245.7644356754. The cubic root of 85484160 is about 440.5161985778.

The spelling of 85484160 in words is "eighty-five million, four hundred eighty-four thousand, one hundred sixty".