1047664720 has 80 divisors (see below), whose sum is σ = 2549479680. Its totient is φ = 399624192.

The previous prime is 1047664703. The next prime is 1047664799. The reversal of 1047664720 is 274667401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1047664720.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 807112 + ... + 808408.

It is an arithmetic number, because the mean of its divisors is an integer number (31868496).

Almost surely, 2^1047664720 is an apocalyptic number.

1047664720 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 1047664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274739840).

1047664720 is an abundant number, since it is smaller than the sum of its proper divisors (1501814960).

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

1047664720 is a wasteful number, since it uses less digits than its factorization.

1047664720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 1047664720 is about 32367.6492813426. The cubic root of 1047664720 is about 1015.6422831868.

The spelling of 1047664720 in words is "one billion, forty-seven million, six hundred sixty-four thousand, seven hundred twenty".