70824 has 32 divisors (see below), whose sum is σ = 191520. Its totient is φ = 21696.

The previous prime is 70823. The next prime is 70841. The reversal of 70824 is 42807.

It is a happy number.

It is a super-3 number, since 3×70824³ = 1065767833308672, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70824.

It is not an unprimeable number, because it can be changed into a prime (70823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁷⁰⁸²⁴ 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 70824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

70824 is an abundant number, since it is smaller than the sum of its proper divisors (120696).

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

70824 is a wasteful number, since it uses less digits than its factorization.

70824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 70824 is about 266.1277888534. The cubic root of 70824 is about 41.3739339758.

The spelling of 70824 in words is "seventy thousand, eight hundred twenty-four".