47975616 has 168 divisors, whose sum is σ = 152552400. Its totient is φ = 14321664.

The previous prime is 47975611. The next prime is 47975621. The reversal of 47975616 is 61657974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47975611) and next prime (47975621).

Its product of digits (317520) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (47975611) 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, 321910 + ... + 322058.

It is an arithmetic number, because the mean of its divisors is an integer number (908050).

Almost surely, 2^47975616 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 47975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76276200).

47975616 is an abundant number, since it is smaller than the sum of its proper divisors (104576784).

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

47975616 is a wasteful number, since it uses less digits than its factorization.

47975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 47975616 is about 6926.4432431083. The cubic root of 47975616 is about 363.3625683253.

The spelling of 47975616 in words is "forty-seven million, nine hundred seventy-five thousand, six hundred sixteen".