6403560 has 128 divisors (see below), whose sum is σ = 21098880. Its totient is φ = 1548288.

The previous prime is 6403511. The next prime is 6403571. The reversal of 6403560 is 653046.

6403560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 6403560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87684 + ... + 87756.

It is an arithmetic number, because the mean of its divisors is an integer number (164835).

Almost surely, 2^6403560 is an apocalyptic number.

6403560 is a gapful number since it is divisible by the number (60) 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 6403560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549440).

6403560 is an abundant number, since it is smaller than the sum of its proper divisors (14695320).

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

6403560 is a wasteful number, since it uses less digits than its factorization.

6403560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 6403560 is about 2530.5256370960. The cubic root of 6403560 is about 185.6979720807.

6403560 divided by its sum of digits (24) gives a triangular number (266815 = T₇₃₀).

The spelling of 6403560 in words is "six million, four hundred three thousand, five hundred sixty".