6460800 has 96 divisors (see below), whose sum is σ = 21311880. Its totient is φ = 1720320.

The previous prime is 6460781. The next prime is 6460801. The reversal of 6460800 is 80646.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6460801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9264 + ... + 9936.

Almost surely, 2^6460800 is an apocalyptic number.

6460800 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 6460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655940).

6460800 is an abundant number, since it is smaller than the sum of its proper divisors (14851080).

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

6460800 is a wasteful number, since it uses less digits than its factorization.

6460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6460800 is about 2541.8103784508. The cubic root of 6460800 is about 186.2496359016.

It can be divided in two parts, 6460 and 800, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6460800 in words is "six million, four hundred sixty thousand, eight hundred".