4264080 has 80 divisors (see below), whose sum is σ = 13421760. Its totient is φ = 1119744.

The previous prime is 4264069. The next prime is 4264109. The reversal of 4264080 is 804624.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4264080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26079 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (167772).

Almost surely, 2^4264080 is an apocalyptic number.

4264080 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 4264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710880).

4264080 is an abundant number, since it is smaller than the sum of its proper divisors (9157680).

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

4264080 is a wasteful number, since it uses less digits than its factorization.

4264080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4264080 is about 2064.9648907427. The cubic root of 4264080 is about 162.1592702788.

The spelling of 4264080 in words is "four million, two hundred sixty-four thousand, eighty".