4763920 has 80 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1589760.

The previous prime is 4763879. The next prime is 4763923. The reversal of 4763920 is 293674.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4763923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26230 + ... + 26410.

Almost surely, 2^4763920 is an apocalyptic number.

4763920 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 4763920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

4763920 is an abundant number, since it is smaller than the sum of its proper divisors (8235248).

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

4763920 is a wasteful number, since it uses less digits than its factorization.

4763920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 4763920 is about 2182.6406025729. The cubic root of 4763920 is about 168.2628161540.

The spelling of 4763920 in words is "four million, seven hundred sixty-three thousand, nine hundred twenty".