4688880 has 80 divisors (see below), whose sum is σ = 16617984. Its totient is φ = 1071360.

The previous prime is 4688867. The next prime is 4688897. The reversal of 4688880 is 888864.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 285 + ... + 3075.

Almost surely, 2^4688880 is an apocalyptic number.

4688880 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 4688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8308992).

4688880 is an abundant number, since it is smaller than the sum of its proper divisors (11929104).

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

4688880 is a wasteful number, since it uses less digits than its factorization.

4688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 4688880 is about 2165.3821833570. The cubic root of 4688880 is about 167.3746593308.

The spelling of 4688880 in words is "four million, six hundred eighty-eight thousand, eight hundred eighty".