85348440 has 96 divisors (see below), whose sum is σ = 280987200. Its totient is φ = 22464000.

The previous prime is 85348427. The next prime is 85348447. The reversal of 85348440 is 4484358.

85348440 is a `hidden beast` number, since 8 + 534 + 84 + 40 = 666.

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 = 85348395 and 85348404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85348447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26940 + ... + 29940.

It is an arithmetic number, because the mean of its divisors is an integer number (2926950).

Almost surely, 2^85348440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85348440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140493600).

85348440 is an abundant number, since it is smaller than the sum of its proper divisors (195638760).

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

85348440 is a wasteful number, since it uses less digits than its factorization.

85348440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 85348440 is about 9238.4219431676. The cubic root of 85348440 is about 440.2829447334.

The spelling of 85348440 in words is "eighty-five million, three hundred forty-eight thousand, four hundred forty".