4387680 has 144 divisors (see below), whose sum is σ = 16393104. Its totient is φ = 1059840.

The previous prime is 4387673. The next prime is 4387681. The reversal of 4387680 is 867834.

4387680 = 255² + 256² + ... + 309².

It is a tau number, because it is divible by the number of its divisors (144).

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 (4387681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15702 + ... + 15978.

It is an arithmetic number, because the mean of its divisors is an integer number (113841).

Almost surely, 2^4387680 is an apocalyptic number.

4387680 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 4387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196552).

4387680 is an abundant number, since it is smaller than the sum of its proper divisors (12005424).

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

4387680 is a wasteful number, since it uses less digits than its factorization.

4387680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

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

The square root of 4387680 is about 2094.6789730171. The cubic root of 4387680 is about 163.7111711832.

It can be divided in two parts, 43876 and 80, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 4387680 in words is "four million, three hundred eighty-seven thousand, six hundred eighty".