47603664 has 120 divisors (see below), whose sum is σ = 142371840. Its totient is φ = 14805504.

The previous prime is 47603663. The next prime is 47603687. The reversal of 47603664 is 46630674.

47603664 = T₂₂₂₉ + T₂₂₃₀ + ... + T₂₂₄₇.

47603664 is a `hidden beast` number, since 47 + 603 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×47603664² = 4532217652449792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47603663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347404 + ... + 347540.

It is an arithmetic number, because the mean of its divisors is an integer number (1186432).

Almost surely, 2^47603664 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 47603664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71185920).

47603664 is an abundant number, since it is smaller than the sum of its proper divisors (94768176).

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

47603664 is a wasteful number, since it uses less digits than its factorization.

47603664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 47603664 is about 6899.5408542888. The cubic root of 47603664 is about 362.4210884911.

It can be divided in two parts, 476036 and 64, that added together give a square (476100 = 690²).

The spelling of 47603664 in words is "forty-seven million, six hundred three thousand, six hundred sixty-four".