47100064 has 72 divisors (see below), whose sum is σ = 107690688. Its totient is φ = 20106240.

The previous prime is 47100061. The next prime is 47100073. The reversal of 47100064 is 46000174.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (47100061) 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 11 ways as a sum of consecutive naturals, for example, 101497 + ... + 101959.

It is an arithmetic number, because the mean of its divisors is an integer number (1495704).

Almost surely, 2^47100064 is an apocalyptic number.

47100064 is a gapful number since it is divisible by the number (44) 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 47100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53845344).

47100064 is an abundant number, since it is smaller than the sum of its proper divisors (60590624).

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

47100064 is a wasteful number, since it uses less digits than its factorization.

47100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 47100064 is about 6862.9486374298. The cubic root of 47100064 is about 361.1385353917.

The spelling of 47100064 in words is "forty-seven million, one hundred thousand, sixty-four".