4126560 has 48 divisors (see below), whose sum is σ = 13000176. Its totient is φ = 1100288.

The previous prime is 4126543. The next prime is 4126561. The reversal of 4126560 is 656214.

It is a tau number, because it is divible by the number of its divisors (48).

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 4126560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3819 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (270837).

Almost surely, 2^4126560 is an apocalyptic number.

4126560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4126560 is an abundant number, since it is smaller than the sum of its proper divisors (8873616).

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

4126560 is a wasteful number, since it uses less digits than its factorization.

4126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4126560 is about 2031.3936103080. The cubic root of 4126560 is about 160.3969311378.

The spelling of 4126560 in words is "four million, one hundred twenty-six thousand, five hundred sixty".