47663616 has 320 divisors, whose sum is σ = 175988736. Its totient is φ = 11059200.

The previous prime is 47663611. The next prime is 47663621. The reversal of 47663616 is 61636674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47663611) and next prime (47663621).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47663611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537521 + ... + 1537551.

Almost surely, 2^47663616 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 47663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

47663616 is an abundant number, since it is smaller than the sum of its proper divisors (128325120).

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

47663616 is a wasteful number, since it uses less digits than its factorization.

47663616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 47663616 is about 6903.8841241724. The cubic root of 47663616 is about 362.5731689004.

The spelling of 47663616 in words is "forty-seven million, six hundred sixty-three thousand, six hundred sixteen".