85209440 has 48 divisors (see below), whose sum is σ = 213155712. Its totient is φ = 32077824.

The previous prime is 85209437. The next prime is 85209499. The reversal of 85209440 is 4490258.

It is a super-2 number, since 2×85209440² = 14521297330227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 85209397 and 85209406.

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, 12944 + ... + 18383.

It is an arithmetic number, because the mean of its divisors is an integer number (4440744).

Almost surely, 2^85209440 is an apocalyptic number.

85209440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85209440 is an abundant number, since it is smaller than the sum of its proper divisors (127946272).

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

85209440 is a wasteful number, since it uses less digits than its factorization.

85209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31359 (or 31351 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 85209440 is about 9230.8959478482. The cubic root of 85209440 is about 440.0437972932.

Adding to 85209440 its reverse (4490258), we get a palindrome (89699698).

The spelling of 85209440 in words is "eighty-five million, two hundred nine thousand, four hundred forty".