85433840 has 40 divisors (see below), whose sum is σ = 210321360. Its totient is φ = 32162816.

The previous prime is 85433813. The next prime is 85433863. The reversal of 85433840 is 4833458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 85433840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30050 + ... + 32769.

It is an arithmetic number, because the mean of its divisors is an integer number (5258034).

Almost surely, 2^85433840 is an apocalyptic number.

85433840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85433840 is an abundant number, since it is smaller than the sum of its proper divisors (124887520).

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

85433840 is a wasteful number, since it uses less digits than its factorization.

85433840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62849 (or 62843 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 85433840 is about 9243.0427890387. The cubic root of 85433840 is about 440.4297454228.

The spelling of 85433840 in words is "eighty-five million, four hundred thirty-three thousand, eight hundred forty".