85213440 has 216 divisors, whose sum is σ = 318066840. Its totient is φ = 20938752.

The previous prime is 85213439. The next prime is 85213463. The reversal of 85213440 is 4431258.

85213440 is a `hidden beast` number, since 8 + 5 + 213 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 84934656 = 528^2 + 9216^2 .

It is a super-2 number, since 2×85213440² = 14522660713267200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149476 + ... + 150044.

Almost surely, 2^85213440 is an apocalyptic number.

85213440 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 85213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159033420).

85213440 is an abundant number, since it is smaller than the sum of its proper divisors (232853400).

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

85213440 is a wasteful number, since it uses less digits than its factorization.

85213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85213440 is about 9231.1126089979. The cubic root of 85213440 is about 440.0506828669.

Adding to 85213440 its reverse (4431258), we get a palindrome (89644698).

The spelling of 85213440 in words is "eighty-five million, two hundred thirteen thousand, four hundred forty".