1046072664 has 256 divisors, whose sum is σ = 3765888000. Its totient is φ = 261273600.

The previous prime is 1046072639. The next prime is 1046072689. The reversal of 1046072664 is 4662706401.

It is an interprime number because it is at equal distance from previous prime (1046072639) and next prime (1046072689).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372064 + ... + 374864.

It is an arithmetic number, because the mean of its divisors is an integer number (14710500).

Almost surely, 2^1046072664 is an apocalyptic number.

1046072664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046072664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882944000).

1046072664 is an abundant number, since it is smaller than the sum of its proper divisors (2719815336).

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

1046072664 is a wasteful number, since it uses less digits than its factorization.

1046072664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1046072664 is about 32343.0466097429. The cubic root of 1046072664 is about 1015.1275577189.

The spelling of 1046072664 in words is "one billion, forty-six million, seventy-two thousand, six hundred sixty-four".