47168268 has 144 divisors (see below), whose sum is σ = 140286720. Its totient is φ = 12063744.

The previous prime is 47168263. The next prime is 47168273. The reversal of 47168268 is 86286174.

It is an interprime number because it is at equal distance from previous prime (47168263) and next prime (47168273).

It is a super-2 number, since 2×47168268² = 4449691012239648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (129024) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (47168263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703971 + ... + 704037.

Almost surely, 2^47168268 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 47168268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70143360).

47168268 is an abundant number, since it is smaller than the sum of its proper divisors (93118452).

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

47168268 is a wasteful number, since it uses less digits than its factorization.

47168268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 47168268 is about 6867.9158410685. The cubic root of 47168268 is about 361.3127687931.

The spelling of 47168268 in words is "forty-seven million, one hundred sixty-eight thousand, two hundred sixty-eight".