4915680 has 288 divisors, whose sum is σ = 20684160. Its totient is φ = 967680.

The previous prime is 4915663. The next prime is 4915711. The reversal of 4915680 is 865194.

4915680 = T₂₁ + T₂₂ + ... + T₃₀₈.

4915680 is a nontrivial binomial coefficient, being equal to C(3136, 2).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 258711 + ... + 258729.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 2^4915680 is an apocalyptic number.

4915680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4915680 is the 3135-th triangular number and also the 1568-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4915680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

4915680 is an abundant number, since it is smaller than the sum of its proper divisors (15768480).

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

4915680 is a wasteful number, since it uses less digits than its factorization.

4915680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4915680 is about 2217.1332842209. The cubic root of 4915680 is about 170.0309055691.

The spelling of 4915680 in words is "four million, nine hundred fifteen thousand, six hundred eighty".