1042608864 has 96 divisors (see below), whose sum is σ = 3082060800. Its totient is φ = 305740800.

The previous prime is 1042608839. The next prime is 1042608881. The reversal of 1042608864 is 4688062401.

1042608864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 16812 + ... + 48660.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2^1042608864 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 1042608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

1042608864 is an abundant number, since it is smaller than the sum of its proper divisors (2039451936).

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

1042608864 is a wasteful number, since it uses less digits than its factorization.

1042608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31904 (or 31896 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1042608864 is about 32289.4543775518. The cubic root of 1042608864 is about 1014.0058743323.

It can be divided in two parts, 1042 and 608864, that added together give a palindrome (609906).

The spelling of 1042608864 in words is "one billion, forty-two million, six hundred eight thousand, eight hundred sixty-four".