6456516 has 48 divisors (see below), whose sum is σ = 16849728. Its totient is φ = 1907200.

The previous prime is 6456511. The next prime is 6456521. The reversal of 6456516 is 6156546.

It is an interprime number because it is at equal distance from previous prime (6456511) and next prime (6456521).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (6456511) 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, 4816 + ... + 6008.

It is an arithmetic number, because the mean of its divisors is an integer number (351036).

Almost surely, 2^6456516 is an apocalyptic number.

6456516 is a gapful number since it is divisible by the number (66) 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 6456516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424864).

6456516 is an abundant number, since it is smaller than the sum of its proper divisors (10393212).

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

6456516 is a wasteful number, since it uses less digits than its factorization.

6456516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 6456516 is about 2540.9675322601. The cubic root of 6456516 is about 186.2084609253.

The spelling of 6456516 in words is "six million, four hundred fifty-six thousand, five hundred sixteen".