6461760 has 112 divisors (see below), whose sum is σ = 21067776. Its totient is φ = 1677312.

The previous prime is 6461759. The next prime is 6461761. The reversal of 6461760 is 671646.

It is an interprime number because it is at equal distance from previous prime (6461759) and next prime (6461761).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461761) 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, 50817 + ... + 50943.

Almost surely, 2^6461760 is an apocalyptic number.

6461760 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 6461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533888).

6461760 is an abundant number, since it is smaller than the sum of its proper divisors (14606016).

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

6461760 is a wasteful number, since it uses less digits than its factorization.

6461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6461760 is about 2541.9992132178. Note that the first 3 decimals coincide. The cubic root of 6461760 is about 186.2588602905.

The spelling of 6461760 in words is "six million, four hundred sixty-one thousand, seven hundred sixty".