4693680 has 160 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1198080.

The previous prime is 4693673. The next prime is 4693687. The reversal of 4693680 is 863964.

4693680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4693673) and next prime (4693687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4693687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88534 + ... + 88586.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

Almost surely, 2^4693680 is an apocalyptic number.

4693680 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 4693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

4693680 is an abundant number, since it is smaller than the sum of its proper divisors (12180240).

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

4693680 is a wasteful number, since it uses less digits than its factorization.

4693680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4693680 is about 2166.4902492280. The cubic root of 4693680 is about 167.4317535889.

The spelling of 4693680 in words is "four million, six hundred ninety-three thousand, six hundred eighty".