85992480 has 288 divisors, whose sum is σ = 353808000. Its totient is φ = 18579456.

The previous prime is 85992479. The next prime is 85992503. The reversal of 85992480 is 8429958.

85992480 is a `hidden beast` number, since 85 + 9 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 191296 + ... + 191744.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^85992480 is an apocalyptic number.

85992480 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 85992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

85992480 is an abundant number, since it is smaller than the sum of its proper divisors (267815520).

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

85992480 is a wasteful number, since it uses less digits than its factorization.

85992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 85992480 is about 9273.2130354047. The cubic root of 85992480 is about 441.3876302423.

It can be divided in two parts, 859 and 92480, that added together give a palindrome (93339).

The spelling of 85992480 in words is "eighty-five million, nine hundred ninety-two thousand, four hundred eighty".