69864480 has 288 divisors, whose sum is σ = 283046400. Its totient is φ = 15353856.

The previous prime is 69864469. The next prime is 69864517. The reversal of 69864480 is 8446896.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292201 + ... + 292439.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^69864480 is an apocalyptic number.

69864480 is a gapful number since it is divisible by the number (60) 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 69864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

69864480 is an abundant number, since it is smaller than the sum of its proper divisors (213181920).

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

69864480 is a wasteful number, since it uses less digits than its factorization.

69864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 69864480 is about 8358.4974726323. The cubic root of 69864480 is about 411.8623978850.

The spelling of 69864480 in words is "sixty-nine million, eight hundred sixty-four thousand, four hundred eighty".