85236480 has 324 divisors, whose sum is σ = 345329712. Its totient is φ = 19353600.

The previous prime is 85236467. The next prime is 85236553. The reversal of 85236480 is 8463258.

85236480 is a `hidden beast` number, since 8 + 5 + 2 + 3 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564405 + ... + 564555.

Almost surely, 2^85236480 is an apocalyptic number.

85236480 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 85236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172664856).

85236480 is an abundant number, since it is smaller than the sum of its proper divisors (260093232).

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

85236480 is a wasteful number, since it uses less digits than its factorization.

85236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85236480 is about 9232.3604782309. The cubic root of 85236480 is about 440.0903395772.

The spelling of 85236480 in words is "eighty-five million, two hundred thirty-six thousand, four hundred eighty".