4787640 has 256 divisors, whose sum is σ = 19353600. Its totient is φ = 1036800.

The previous prime is 4787633. The next prime is 4787641. The reversal of 4787640 is 467874.

It is a happy number.

4787640 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 640 = 666.

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 = 4787595 and 4787604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154425 + ... + 154455.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 2^4787640 is an apocalyptic number.

4787640 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 4787640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

4787640 is an abundant number, since it is smaller than the sum of its proper divisors (14565960).

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

4787640 is a wasteful number, since it uses less digits than its factorization.

4787640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4787640 is about 2188.0676406364. The cubic root of 4787640 is about 168.5416193306.

It can be divided in two parts, 478 and 7640, that added together give a palindrome (8118).

The spelling of 4787640 in words is "four million, seven hundred eighty-seven thousand, six hundred forty".