6461088 has 96 divisors (see below), whose sum is σ = 18615744. Its totient is φ = 1953792.

The previous prime is 6461047. The next prime is 6461089. The reversal of 6461088 is 8801646.

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

It is not an unprimeable number, because it can be changed into a prime (6461089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60331 + ... + 60437.

It is an arithmetic number, because the mean of its divisors is an integer number (193914).

Almost surely, 2^6461088 is an apocalyptic number.

6461088 is a gapful number since it is divisible by the number (68) 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 6461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872).

6461088 is an abundant number, since it is smaller than the sum of its proper divisors (12154656).

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

6461088 is a wasteful number, since it uses less digits than its factorization.

6461088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6461088 is about 2541.8670303539. The cubic root of 6461088 is about 186.2524033142.

The spelling of 6461088 in words is "six million, four hundred sixty-one thousand, eighty-eight".