47536632 has 256 divisors, whose sum is σ = 165312000. Its totient is φ = 12597120.

The previous prime is 47536631. The next prime is 47536633. The reversal of 47536632 is 23663574.

It is an interprime number because it is at equal distance from previous prime (47536631) and next prime (47536633).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (90720) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47536631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2501919 + ... + 2501937.

It is an arithmetic number, because the mean of its divisors is an integer number (645750).

Almost surely, 2^47536632 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 47536632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656000).

47536632 is an abundant number, since it is smaller than the sum of its proper divisors (117775368).

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

47536632 is a wasteful number, since it uses less digits than its factorization.

47536632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 47536632 is about 6894.6814284635. The cubic root of 47536632 is about 362.2508969539.

The spelling of 47536632 in words is "forty-seven million, five hundred thirty-six thousand, six hundred thirty-two".