47544640 has 112 divisors (see below), whose sum is σ = 133136640. Its totient is φ = 15943680.

The previous prime is 47544587. The next prime is 47544643. The reversal of 47544640 is 4644574.

It is a junction number, because it is equal to n+sod(n) for n = 47544596 and 47544605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47544643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45241 + ... + 46279.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^47544640 is an apocalyptic number.

47544640 is a gapful number since it is divisible by the number (40) 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 47544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

47544640 is an abundant number, since it is smaller than the sum of its proper divisors (85592000).

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

47544640 is a wasteful number, since it uses less digits than its factorization.

47544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 47544640 is about 6895.2621414998. The cubic root of 47544640 is about 362.2712373537.

It can be divided in two parts, 47544 and 640, that added together give a palindrome (48184).

The spelling of 47544640 in words is "forty-seven million, five hundred forty-four thousand, six hundred forty".