47665440 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 12519936.

The previous prime is 47665427. The next prime is 47665441. The reversal of 47665440 is 4456674.

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 junction number, because it is equal to n+sod(n) for n = 47665395 and 47665404.

It is not an unprimeable number, because it can be changed into a prime (47665441) 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 23 ways as a sum of consecutive naturals, for example, 113551 + ... + 113969.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^47665440 is an apocalyptic number.

47665440 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 47665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

47665440 is an abundant number, since it is smaller than the sum of its proper divisors (117444960).

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

47665440 is a wasteful number, since it uses less digits than its factorization.

47665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 47665440 is about 6904.0162224607. The cubic root of 47665440 is about 362.5777938470.

The spelling of 47665440 in words is "forty-seven million, six hundred sixty-five thousand, four hundred forty".