85433040 has 480 divisors, whose sum is σ = 378832896. Its totient is φ = 16727040.

The previous prime is 85432967. The next prime is 85433057. The reversal of 85433040 is 4033458.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85432995 and 85433013.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1275087 + ... + 1275153.

Almost surely, 2^85433040 is an apocalyptic number.

85433040 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 85433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189416448).

85433040 is an abundant number, since it is smaller than the sum of its proper divisors (293399856).

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

85433040 is a wasteful number, since it uses less digits than its factorization.

85433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 85433040 is about 9242.9995131451. Note that the first 3 decimals coincide. The cubic root of 85433040 is about 440.4283706947.

Adding to 85433040 its reverse (4033458), we get a palindrome (89466498).

The spelling of 85433040 in words is "eighty-five million, four hundred thirty-three thousand, forty".