869824144 has 40 divisors (see below), whose sum is σ = 1992461760. Its totient is φ = 359925888.

The previous prime is 869824141. The next prime is 869824169. The reversal of 869824144 is 441428968.

869824144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×869824144⁴ (a number of 37 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 869824094 and 869824103.

It is not an unprimeable number, because it can be changed into a prime (869824141) 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, 130654 + ... + 137149.

It is an arithmetic number, because the mean of its divisors is an integer number (49811544).

Almost surely, 2^869824144 is an apocalyptic number.

It is an amenable number.

869824144 is an abundant number, since it is smaller than the sum of its proper divisors (1122637616).

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

869824144 is a wasteful number, since it uses less digits than its factorization.

869824144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267847 (or 267841 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 869824144 is about 29492.7812184609. The cubic root of 869824144 is about 954.5759450616.

It can be divided in two parts, 869824 and 144, that added together give a palindrome (869968).

The spelling of 869824144 in words is "eight hundred sixty-nine million, eight hundred twenty-four thousand, one hundred forty-four".