84884640 has 96 divisors (see below), whose sum is σ = 270527040. Its totient is φ = 22370304.

The previous prime is 84884633. The next prime is 84884671. The reversal of 84884640 is 4648848.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 84884592 and 84884601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41727 + ... + 43713.

It is an arithmetic number, because the mean of its divisors is an integer number (2817990).

Almost surely, 2^84884640 is an apocalyptic number.

84884640 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 84884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135263520).

84884640 is an abundant number, since it is smaller than the sum of its proper divisors (185642400).

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

84884640 is a wasteful number, since it uses less digits than its factorization.

84884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 84884640 is about 9213.2860587306. The cubic root of 84884640 is about 439.4839680371.

The spelling of 84884640 in words is "eighty-four million, eight hundred eighty-four thousand, six hundred forty".