247584960 has 168 divisors, whose sum is σ = 973323936. Its totient is φ = 56586240.

The previous prime is 247584947. The next prime is 247584979. The reversal of 247584960 is 69485742.

It is a happy number.

247584960 is a `hidden beast` number, since 2 + 4 + 7 + 584 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×247584960² = 122596624836403200, which contains 22 as substring.

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

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, 14020 + ... + 26300.

Almost surely, 2^247584960 is an apocalyptic number.

247584960 is a gapful number since it is divisible by the number (20) 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 247584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486661968).

247584960 is an abundant number, since it is smaller than the sum of its proper divisors (725738976).

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

247584960 is a wasteful number, since it uses less digits than its factorization.

247584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 247584960 is about 15734.8326969180. The cubic root of 247584960 is about 627.9254512777.

The spelling of 247584960 in words is "two hundred forty-seven million, five hundred eighty-four thousand, nine hundred sixty".