4933680 has 80 divisors (see below), whose sum is σ = 15591264. Its totient is φ = 1290240.

The previous prime is 4933633. The next prime is 4933697. The reversal of 4933680 is 863394.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14472 + ... + 14808.

Almost surely, 2^4933680 is an apocalyptic number.

4933680 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 4933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795632).

4933680 is an abundant number, since it is smaller than the sum of its proper divisors (10657584).

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

4933680 is a wasteful number, since it uses less digits than its factorization.

4933680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4933680 is about 2221.1888708527. The cubic root of 4933680 is about 170.2381897574.

The spelling of 4933680 in words is "four million, nine hundred thirty-three thousand, six hundred eighty".