1047664800 has 864 divisors, whose sum is σ = 4803442560. Its totient is φ = 215654400.

The previous prime is 1047664799. The next prime is 1047664801. The reversal of 1047664800 is 84667401.

1047664800 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 6 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1047664799) and next prime (1047664801).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (1047664801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25552780 + ... + 25552820.

It is an arithmetic number, because the mean of its divisors is an integer number (5559540).

Almost surely, 2^1047664800 is an apocalyptic number.

1047664800 is a gapful number since it is divisible by the number (10) 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 1047664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401721280).

1047664800 is an abundant number, since it is smaller than the sum of its proper divisors (3755777760).

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

1047664800 is a wasteful number, since it uses less digits than its factorization.

1047664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1047664800 is about 32367.6505171444. The cubic root of 1047664800 is about 1015.6423090383.

The spelling of 1047664800 in words is "one billion, forty-seven million, six hundred sixty-four thousand, eight hundred".