84001256320 has 64 divisors (see below), whose sum is σ = 201052232640. Its totient is φ = 33560893440.

The previous prime is 84001256303. The next prime is 84001256321. The reversal of 84001256320 is 2365210048.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×84001256320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84001256321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468985 + ... + 622855.

It is an arithmetic number, because the mean of its divisors is an integer number (3141441135).

Almost surely, 2^84001256320 is an apocalyptic number.

84001256320 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 84001256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100526116320).

84001256320 is an abundant number, since it is smaller than the sum of its proper divisors (117050976320).

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

84001256320 is a wasteful number, since it uses less digits than its factorization.

84001256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154743 (or 154731 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 84001256320 its reverse (2365210048), we get a palindrome (86366466368).

The spelling of 84001256320 in words is "eighty-four billion, one million, two hundred fifty-six thousand, three hundred twenty".