4761680 has 80 divisors (see below), whose sum is σ = 13820544. Its totient is φ = 1482240.

The previous prime is 4761677. The next prime is 4761689. The reversal of 4761680 is 861674.

4761680 = T₁₃₉ + T₁₄₀ + ... + T₃₁₄.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761689) 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, 5774 + ... + 6546.

Almost surely, 2^4761680 is an apocalyptic number.

4761680 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 4761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910272).

4761680 is an abundant number, since it is smaller than the sum of its proper divisors (9058864).

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

4761680 is a wasteful number, since it uses less digits than its factorization.

4761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4761680 is about 2182.1274023301. The cubic root of 4761680 is about 168.2364395707.

The spelling of 4761680 in words is "four million, seven hundred sixty-one thousand, six hundred eighty".