69844896 has 96 divisors (see below), whose sum is σ = 222264000. Its totient is φ = 21162240.

The previous prime is 69844889. The next prime is 69844897.

69844896 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (69844897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5830 + ... + 13178.

It is an arithmetic number, because the mean of its divisors is an integer number (2315250).

Almost surely, 2^69844896 is an apocalyptic number.

69844896 is a gapful number since it is divisible by the number (66) 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 69844896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132000).

69844896 is an abundant number, since it is smaller than the sum of its proper divisors (152419104).

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

69844896 is a wasteful number, since it uses less digits than its factorization.

69844896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7365 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 69844896 is about 8357.3258881056. The cubic root of 69844896 is about 411.8239106738.

The spelling of 69844896 in words is "sixty-nine million, eight hundred forty-four thousand, eight hundred ninety-six".