47995632 has 80 divisors (see below), whose sum is σ = 138636960. Its totient is φ = 15897600.

The previous prime is 47995627. The next prime is 47995637. The reversal of 47995632 is 23659974.

It is a happy number.

47995632 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (47995627) and next prime (47995637).

It is a super-3 number, since 3×47995632³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47995637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103882 + ... + 104342.

It is an arithmetic number, because the mean of its divisors is an integer number (1732962).

Almost surely, 2^47995632 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 47995632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69318480).

47995632 is an abundant number, since it is smaller than the sum of its proper divisors (90641328).

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

47995632 is a wasteful number, since it uses less digits than its factorization.

47995632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 47995632 is about 6927.8879898566. The cubic root of 47995632 is about 363.4130943671.

The spelling of 47995632 in words is "forty-seven million, nine hundred ninety-five thousand, six hundred thirty-two".