247068000 has 144 divisors (see below), whose sum is σ = 876972096. Its totient is φ = 65875200.

The previous prime is 247067993. The next prime is 247068007. The reversal of 247068000 is 860742.

It is an interprime number because it is at equal distance from previous prime (247067993) and next prime (247068007).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×247068000² = 122085193248000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247068007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32569 + ... + 39431.

It is an arithmetic number, because the mean of its divisors is an integer number (6090084).

Almost surely, 2^247068000 is an apocalyptic number.

247068000 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 247068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438486048).

247068000 is an abundant number, since it is smaller than the sum of its proper divisors (629904096).

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

247068000 is a wasteful number, since it uses less digits than its factorization.

247068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 247068000 is about 15718.3968648205. The cubic root of 247068000 is about 627.4881084290.

The spelling of 247068000 in words is "two hundred forty-seven million, sixty-eight thousand".