4279680 has 96 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 1139712.

The previous prime is 4279669. The next prime is 4279687. The reversal of 4279680 is 869724.

It is a tau number, because it is divible by the number of its divisors (96).

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 (4279687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5389 + ... + 6131.

Almost surely, 2^4279680 is an apocalyptic number.

4279680 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 4279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080).

4279680 is an abundant number, since it is smaller than the sum of its proper divisors (10518480).

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

4279680 is a wasteful number, since it uses less digits than its factorization.

4279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4279680 is about 2068.7387461930. The cubic root of 4279680 is about 162.3567811094.

The spelling of 4279680 in words is "four million, two hundred seventy-nine thousand, six hundred eighty".