85557440 has 56 divisors (see below), whose sum is σ = 205081632. Its totient is φ = 33996800.

The previous prime is 85557397. The next prime is 85557443. The reversal of 85557440 is 4475558.

It is a junction number, because it is equal to n+sod(n) for n = 85557394 and 85557403.

It is not an unprimeable number, because it can be changed into a prime (85557443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52640 + ... + 54240.

It is an arithmetic number, because the mean of its divisors is an integer number (3662172).

Almost surely, 2^85557440 is an apocalyptic number.

85557440 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 85557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102540816).

85557440 is an abundant number, since it is smaller than the sum of its proper divisors (119524192).

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

85557440 is a wasteful number, since it uses less digits than its factorization.

85557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 85557440 is about 9249.7264824426. The cubic root of 85557440 is about 440.6420379040.

The spelling of 85557440 in words is "eighty-five million, five hundred fifty-seven thousand, four hundred forty".