85551840 has 216 divisors, whose sum is σ = 321552504. Its totient is φ = 20697600.

The previous prime is 85551833. The next prime is 85551841. The reversal of 85551840 is 4815558.

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 = 85551795 and 85551804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85551841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173995 + ... + 174485.

It is an arithmetic number, because the mean of its divisors is an integer number (1488669).

Almost surely, 2^85551840 is an apocalyptic number.

85551840 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 85551840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160776252).

85551840 is an abundant number, since it is smaller than the sum of its proper divisors (236000664).

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

85551840 is a wasteful number, since it uses less digits than its factorization.

85551840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 85551840 is about 9249.4237658354. The cubic root of 85551840 is about 440.6324238979.

It can be divided in two parts, 855518 and 40, that added together give a palindrome (855558).

The spelling of 85551840 in words is "eighty-five million, five hundred fifty-one thousand, eight hundred forty".