6467040 has 120 divisors (see below), whose sum is σ = 22869000. Its totient is φ = 1721088.

The previous prime is 6467033. The next prime is 6467093. The reversal of 6467040 is 407646.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6466995 and 6467013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12711 + ... + 13209.

It is an arithmetic number, because the mean of its divisors is an integer number (190575).

Almost surely, 2^6467040 is an apocalyptic number.

6467040 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 6467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434500).

6467040 is an abundant number, since it is smaller than the sum of its proper divisors (16401960).

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

6467040 is a wasteful number, since it uses less digits than its factorization.

6467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6467040 is about 2543.0375537927. The cubic root of 6467040 is about 186.3095781053.

The spelling of 6467040 in words is "six million, four hundred sixty-seven thousand, forty".