4761920 has 56 divisors (see below), whose sum is σ = 11850624. Its totient is φ = 1819136.

The previous prime is 4761917. The next prime is 4761923. The reversal of 4761920 is 291674.

It is an interprime number because it is at equal distance from previous prime (4761917) and next prime (4761923).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761923) 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 7 ways as a sum of consecutive naturals, for example, 7037 + ... + 7683.

Almost surely, 2^4761920 is an apocalyptic number.

4761920 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 4761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925312).

4761920 is an abundant number, since it is smaller than the sum of its proper divisors (7088704).

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

4761920 is a wasteful number, since it uses less digits than its factorization.

4761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 4761920 is about 2182.1823938434. The cubic root of 4761920 is about 168.2392660288.

The spelling of 4761920 in words is "four million, seven hundred sixty-one thousand, nine hundred twenty".