84883680 has 288 divisors, whose sum is σ = 346459680. Its totient is φ = 19353600.

The previous prime is 84883657. The next prime is 84883681. The reversal of 84883680 is 8638848.

It is a tau number, because it is divible by the number of its divisors (288).

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 (84883681) 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, 211480 + ... + 211880.

It is an arithmetic number, because the mean of its divisors is an integer number (1202985).

Almost surely, 2^84883680 is an apocalyptic number.

84883680 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 84883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173229840).

84883680 is an abundant number, since it is smaller than the sum of its proper divisors (261576000).

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

84883680 is a wasteful number, since it uses less digits than its factorization.

84883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 84883680 is about 9213.2339599079. The cubic root of 84883680 is about 439.4823112544.

The spelling of 84883680 in words is "eighty-four million, eight hundred eighty-three thousand, six hundred eighty".