84825840 has 240 divisors, whose sum is σ = 303980544. Its totient is φ = 19514880.

The previous prime is 84825833. The next prime is 84825847. The reversal of 84825840 is 4852848.

It is an interprime number because it is at equal distance from previous prime (84825833) and next prime (84825847).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84825847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667857 + ... + 667983.

Almost surely, 2^84825840 is an apocalyptic number.

84825840 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 84825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

84825840 is an abundant number, since it is smaller than the sum of its proper divisors (219154704).

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

84825840 is a wasteful number, since it uses less digits than its factorization.

84825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 84825840 is about 9210.0944620563. The cubic root of 84825840 is about 439.3824670412.

The spelling of 84825840 in words is "eighty-four million, eight hundred twenty-five thousand, eight hundred forty".