47888640 has 108 divisors (see below), whose sum is σ = 165729564. Its totient is φ = 12767232.

The previous prime is 47888639. The next prime is 47888641. The reversal of 47888640 is 4688874.

It is an interprime number because it is at equal distance from previous prime (47888639) and next prime (47888641).

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 28387584 = 4416^2 + 5328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47888641) 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 11 ways as a sum of consecutive naturals, for example, 9442 + ... + 13598.

It is an arithmetic number, because the mean of its divisors is an integer number (1534533).

Almost surely, 2^47888640 is an apocalyptic number.

47888640 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 47888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82864782).

47888640 is an abundant number, since it is smaller than the sum of its proper divisors (117840924).

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

47888640 is a wasteful number, since it uses less digits than its factorization.

47888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 47888640 is about 6920.1618478183. The cubic root of 47888640 is about 363.1428529571.

The spelling of 47888640 in words is "forty-seven million, eight hundred eighty-eight thousand, six hundred forty".