85500480 has 336 divisors, whose sum is σ = 321283584. Its totient is φ = 19169280.

The previous prime is 85500461. The next prime is 85500491. The reversal of 85500480 is 8400558.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2758065 + ... + 2758095.

Almost surely, 2^85500480 is an apocalyptic number.

85500480 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 85500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160641792).

85500480 is an abundant number, since it is smaller than the sum of its proper divisors (235783104).

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

85500480 is a wasteful number, since it uses less digits than its factorization.

85500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 85500480 is about 9246.6469598444. The cubic root of 85500480 is about 440.5442301527.

The spelling of 85500480 in words is "eighty-five million, five hundred thousand, four hundred eighty".