47760640 has 36 divisors (see below), whose sum is σ = 114404724. Its totient is φ = 19103744.

The previous prime is 47760637. The next prime is 47760649. The reversal of 47760640 is 4606774.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 11182336 = 6048^2 + 3344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47760596 and 47760605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47760649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17377 + ... + 19936.

It is an arithmetic number, because the mean of its divisors is an integer number (3177909).

Almost surely, 2^47760640 is an apocalyptic number.

47760640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47760640 is an abundant number, since it is smaller than the sum of its proper divisors (66644084).

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

47760640 is an equidigital number, since it uses as much as digits as its factorization.

47760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37334 (or 37320 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 47760640 is about 6910.9073210397. The cubic root of 47760640 is about 362.8190199948.

It can be divided in two parts, 47760 and 640, that added together give a square (48400 = 220²).

The spelling of 47760640 in words is "forty-seven million, seven hundred sixty thousand, six hundred forty".