4760640 has 224 divisors, whose sum is σ = 18288000. Its totient is φ = 1161216.

The previous prime is 4760627. The next prime is 4760647. The reversal of 4760640 is 460674.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4760647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164146 + ... + 164174.

Almost surely, 2^4760640 is an apocalyptic number.

4760640 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 4760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144000).

4760640 is an abundant number, since it is smaller than the sum of its proper divisors (13527360).

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

4760640 is a wasteful number, since it uses less digits than its factorization.

4760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4760640 is about 2181.8890897569. The cubic root of 4760640 is about 168.2241904880.

The spelling of 4760640 in words is "four million, seven hundred sixty thousand, six hundred forty".