7006464 has 54 divisors (see below), whose sum is σ = 20208006. Its totient is φ = 2334720.

The previous prime is 7006457. The next prime is 7006477. The reversal of 7006464 is 4646007.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 36864 = 2640^2 + 192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 784 + ... + 3824.

Almost surely, 2^7006464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104003).

7006464 is an abundant number, since it is smaller than the sum of its proper divisors (13201542).

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

7006464 is a wasteful number, since it uses less digits than its factorization.

7006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7006464 is about 2646.9726103607. The cubic root of 7006464 is about 191.3519820058.

The spelling of 7006464 in words is "seven million, six thousand, four hundred sixty-four".