6456990 has 64 divisors (see below), whose sum is σ = 16422912. Its totient is φ = 1622400.

The previous prime is 6456977. The next prime is 6457007. The reversal of 6456990 is 996546.

6456990 = T₆₀ + T₆₁ + ... + T₃₃₈.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 49225 + ... + 49355.

It is an arithmetic number, because the mean of its divisors is an integer number (256608).

Almost surely, 2^6456990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211456).

6456990 is an abundant number, since it is smaller than the sum of its proper divisors (9965922).

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

6456990 is a wasteful number, since it uses less digits than its factorization.

6456990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 6456990 is about 2541.0608021061. The cubic root of 6456990 is about 186.2130175960.

The spelling of 6456990 in words is "six million, four hundred fifty-six thousand, nine hundred ninety".