85186480 has 80 divisors (see below), whose sum is σ = 210057984. Its totient is φ = 32060160.

The previous prime is 85186447. The next prime is 85186537. The reversal of 85186480 is 8468158.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122935 + ... + 123625.

Almost surely, 2^85186480 is an apocalyptic number.

85186480 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 85186480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105028992).

85186480 is an abundant number, since it is smaller than the sum of its proper divisors (124871504).

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

85186480 is a wasteful number, since it uses less digits than its factorization.

85186480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 85186480 is about 9229.6522144662. The cubic root of 85186480 is about 440.0042699310.

The spelling of 85186480 in words is "eighty-five million, one hundred eighty-six thousand, four hundred eighty".