84957840 has 240 divisors, whose sum is σ = 330086016. Its totient is φ = 19353600.

The previous prime is 84957833. The next prime is 84957841. The reversal of 84957840 is 4875948.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84957841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134325 + ... + 134955.

Almost surely, 2^84957840 is an apocalyptic number.

84957840 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 84957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165043008).

84957840 is an abundant number, since it is smaller than the sum of its proper divisors (245128176).

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

84957840 is a wasteful number, since it uses less digits than its factorization.

84957840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 84957840 is about 9217.2577266777. The cubic root of 84957840 is about 439.6102609431.

The spelling of 84957840 in words is "eighty-four million, nine hundred fifty-seven thousand, eight hundred forty".