69824664 has 96 divisors (see below), whose sum is σ = 232770720. Its totient is φ = 18413568.

The previous prime is 69824641. The next prime is 69824693. The reversal of 69824664 is 46642896.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224 + ... + 11880.

It is an arithmetic number, because the mean of its divisors is an integer number (2424695).

Almost surely, 2^69824664 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 69824664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116385360).

69824664 is an abundant number, since it is smaller than the sum of its proper divisors (162946056).

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

69824664 is a wasteful number, since it uses less digits than its factorization.

69824664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10682 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 69824664 is about 8356.1153654075. The cubic root of 69824664 is about 411.7841424327.

The spelling of 69824664 in words is "sixty-nine million, eight hundred twenty-four thousand, six hundred sixty-four".