85469040 has 80 divisors (see below), whose sum is σ = 294400800. Its totient is φ = 22791168.

The previous prime is 85469039. The next prime is 85469063. The reversal of 85469040 is 4096458.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×85469040³ (a number of 25 digits) contains 333 as substring.

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 = 85468986 and 85469004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17625 + ... + 21944.

It is an arithmetic number, because the mean of its divisors is an integer number (3680010).

Almost surely, 2^85469040 is an apocalyptic number.

85469040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85469040 is an abundant number, since it is smaller than the sum of its proper divisors (208931760).

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

85469040 is a wasteful number, since it uses less digits than its factorization.

85469040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39591 (or 39579 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85469040 is about 9244.9467278076. The cubic root of 85469040 is about 440.4902249640.

The spelling of 85469040 in words is "eighty-five million, four hundred sixty-nine thousand, forty".