1006456704 has 96 divisors (see below), whose sum is σ = 2938666920. Its totient is φ = 304972800.

The previous prime is 1006456691. The next prime is 1006456709. The reversal of 1006456704 is 4076546001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006456709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35634 + ... + 57294.

Almost surely, 2^1006456704 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 1006456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469333460).

1006456704 is an abundant number, since it is smaller than the sum of its proper divisors (1932210216).

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

1006456704 is a wasteful number, since it uses less digits than its factorization.

1006456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21700 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1006456704 is about 31724.7017952888. The cubic root of 1006456704 is about 1002.1476190971.

The spelling of 1006456704 in words is "one billion, six million, four hundred fifty-six thousand, seven hundred four".