47629064 has 64 divisors (see below), whose sum is σ = 106229760. Its totient is φ = 19595520.

The previous prime is 47629061. The next prime is 47629073. The reversal of 47629064 is 46092674.

It is not an unprimeable number, because it can be changed into a prime (47629061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263054 + ... + 263234.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2^47629064 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 47629064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53114880).

47629064 is an abundant number, since it is smaller than the sum of its proper divisors (58600696).

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

47629064 is a wasteful number, since it uses less digits than its factorization.

47629064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 47629064 is about 6901.3813110130. The cubic root of 47629064 is about 362.4855363234.

The spelling of 47629064 in words is "forty-seven million, six hundred twenty-nine thousand, sixty-four".