4767840 has 288 divisors, whose sum is σ = 20756736. Its totient is φ = 967680.

The previous prime is 4767823. The next prime is 4767853. The reversal of 4767840 is 487674.

4767840 = 267² + 268² + ... + 321².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4767795 and 4767804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110859 + ... + 110901.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

Almost surely, 2^4767840 is an apocalyptic number.

4767840 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 4767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

4767840 is an abundant number, since it is smaller than the sum of its proper divisors (15988896).

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

4767840 is a wasteful number, since it uses less digits than its factorization.

4767840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

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

The square root of 4767840 is about 2183.5384127604. The cubic root of 4767840 is about 168.3089552864.

The spelling of 4767840 in words is "four million, seven hundred sixty-seven thousand, eight hundred forty".