69894144 has 128 divisors (see below), whose sum is σ = 209712000. Its totient is φ = 23003136.

The previous prime is 69894131. The next prime is 69894151. The reversal of 69894144 is 44149896.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 69894144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884697 + ... + 884775.

It is an arithmetic number, because the mean of its divisors is an integer number (1638375).

Almost surely, 2^69894144 is an apocalyptic number.

69894144 is a gapful number since it is divisible by the number (64) 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 69894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104856000).

69894144 is an abundant number, since it is smaller than the sum of its proper divisors (139817856).

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

69894144 is an frugal number, since it uses more digits than its factorization.

69894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 69894144 is about 8360.2717659177. The cubic root of 69894144 is about 411.9206809945.

The spelling of 69894144 in words is "sixty-nine million, eight hundred ninety-four thousand, one hundred forty-four".