4783680 has 168 divisors, whose sum is σ = 18068544. Its totient is φ = 1152000.

The previous prime is 4783673. The next prime is 4783697. The reversal of 4783680 is 863874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31605 + ... + 31755.

Almost surely, 2^4783680 is an apocalyptic number.

4783680 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 4783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272).

4783680 is an abundant number, since it is smaller than the sum of its proper divisors (13284864).

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

4783680 is a wasteful number, since it uses less digits than its factorization.

4783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4783680 is about 2187.1625453999. The cubic root of 4783680 is about 168.4951379109.

The spelling of 4783680 in words is "four million, seven hundred eighty-three thousand, six hundred eighty".