85483440 has 180 divisors, whose sum is σ = 334090224. Its totient is φ = 19531008.

The previous prime is 85483417. The next prime is 85483457. The reversal of 85483440 is 4438458.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 85483395 and 85483404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34069 + ... + 36491.

Almost surely, 2^85483440 is an apocalyptic number.

85483440 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 85483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167045112).

85483440 is an abundant number, since it is smaller than the sum of its proper divisors (248606784).

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

85483440 is a wasteful number, since it uses less digits than its factorization.

85483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 85483440 is about 9245.7254988454. The cubic root of 85483440 is about 440.5149618085.

The spelling of 85483440 in words is "eighty-five million, four hundred eighty-three thousand, four hundred forty".