247653216 has 72 divisors (see below), whose sum is σ = 706810104. Its totient is φ = 82252800.

The previous prime is 247653209. The next prime is 247653223. The reversal of 247653216 is 612356742.

It is an interprime number because it is at equal distance from previous prime (247653209) and next prime (247653223).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×247653216² = 122664230790285312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87016 + ... + 89816.

It is an arithmetic number, because the mean of its divisors is an integer number (9816807).

Almost surely, 2^247653216 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 247653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353405052).

247653216 is an abundant number, since it is smaller than the sum of its proper divisors (459156888).

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

247653216 is a wasteful number, since it uses less digits than its factorization.

247653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3113 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 247653216 is about 15737.0014932960. The cubic root of 247653216 is about 627.9831496419.

The spelling of 247653216 in words is "two hundred forty-seven million, six hundred fifty-three thousand, two hundred sixteen".