1006348464 has 120 divisors (see below), whose sum is σ = 3087998784. Its totient is φ = 303408000.

The previous prime is 1006348451. The next prime is 1006348477. The reversal of 1006348464 is 4648436001.

1006348464 is a `hidden beast` number, since 10 + 0 + 634 + 8 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1006348451) and next prime (1006348477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332719 + ... + 335729.

Almost surely, 2^1006348464 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 1006348464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543999392).

1006348464 is an abundant number, since it is smaller than the sum of its proper divisors (2081650320).

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

1006348464 is a wasteful number, since it uses less digits than its factorization.

1006348464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1006348464 is about 31722.9958232195. The cubic root of 1006348464 is about 1002.1116922835. Note that the first 3 decimals are identical.

The spelling of 1006348464 in words is "one billion, six million, three hundred forty-eight thousand, four hundred sixty-four".