47117664 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 14042880.

The previous prime is 47117647. The next prime is 47117671. The reversal of 47117664 is 46671174.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338907 + ... + 339045.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^47117664 is an apocalyptic number.

47117664 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 47117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

47117664 is an abundant number, since it is smaller than the sum of its proper divisors (101481696).

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

47117664 is a wasteful number, since it uses less digits than its factorization.

47117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 47117664 is about 6864.2307653516. The cubic root of 47117664 is about 361.1835123065.

It can be divided in two parts, 47 and 117664, that added together give a palindrome (117711).

The spelling of 47117664 in words is "forty-seven million, one hundred seventeen thousand, six hundred sixty-four".