70884 has 36 divisors (see below), whose sum is σ = 196560. Its totient is φ = 21360.

The previous prime is 70879. The next prime is 70891. The reversal of 70884 is 48807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70884.

It is an unprimeable number.

70884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁷⁰⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

70884 is an abundant number, since it is smaller than the sum of its proper divisors (125676).

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

70884 is a wasteful number, since it uses less digits than its factorization.

70884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 70884 is about 266.2404927880. The cubic root of 70884 is about 41.3856142695.

The spelling of 70884 in words is "seventy thousand, eight hundred eighty-four".