47606832 has 240 divisors, whose sum is σ = 172176480. Its totient is φ = 12483072.

The previous prime is 47606831. The next prime is 47606833. The reversal of 47606832 is 23860674.

47606832 is a `hidden beast` number, since 47 + 606 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (47606831) and next prime (47606833).

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

It is not an unprimeable number, because it can be changed into a prime (47606831) 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, 275098 + ... + 275270.

It is an arithmetic number, because the mean of its divisors is an integer number (717402).

Almost surely, 2^47606832 is an apocalyptic number.

47606832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47606832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86088240).

47606832 is an abundant number, since it is smaller than the sum of its proper divisors (124569648).

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

47606832 is a wasteful number, since it uses less digits than its factorization.

47606832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47606832 is about 6899.7704309636. The cubic root of 47606832 is about 362.4291279601.

It can be divided in two parts, 476068 and 32, that added together give a square (476100 = 690²).

The spelling of 47606832 in words is "forty-seven million, six hundred six thousand, eight hundred thirty-two".