1006312464 has 80 divisors (see below), whose sum is σ = 2892791040. Its totient is φ = 334938240.

The previous prime is 1006312457. The next prime is 1006312481. The reversal of 1006312464 is 4642136001.

1006312464 is a `hidden beast` number, since 1 + 0 + 0 + 631 + 24 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392274 + ... + 394830.

It is an arithmetic number, because the mean of its divisors is an integer number (36159888).

Almost surely, 2^1006312464 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 1006312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446395520).

1006312464 is an abundant number, since it is smaller than the sum of its proper divisors (1886478576).

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

1006312464 is a wasteful number, since it uses less digits than its factorization.

1006312464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1006312464 is about 31722.4284064130. The cubic root of 1006312464 is about 1002.0997426616.

Adding to 1006312464 its reverse (4642136001), we get a palindrome (5648448465).

The spelling of 1006312464 in words is "one billion, six million, three hundred twelve thousand, four hundred sixty-four".