84255440 has 80 divisors (see below), whose sum is σ = 211593600. Its totient is φ = 31105536.

The previous prime is 84255439. The next prime is 84255449. The reversal of 84255440 is 4455248.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 84255397 and 84255406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84255449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52571 + ... + 54149.

It is an arithmetic number, because the mean of its divisors is an integer number (2644920).

Almost surely, 2^84255440 is an apocalyptic number.

84255440 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 84255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105796800).

84255440 is an abundant number, since it is smaller than the sum of its proper divisors (127338160).

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

84255440 is a wasteful number, since it uses less digits than its factorization.

84255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 84255440 is about 9179.0762062421. The cubic root of 84255440 is about 438.3953950624.

The spelling of 84255440 in words is "eighty-four million, two hundred fifty-five thousand, four hundred forty".