1021044864 has 64 divisors (see below), whose sum is σ = 3099608640. Its totient is φ = 291726336.

The previous prime is 1021044767. The next prime is 1021044881. The reversal of 1021044864 is 4684401201.

1021044864 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 (64).

It is a super-3 number, since 3×1021044864³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187239 + ... + 192614.

It is an arithmetic number, because the mean of its divisors is an integer number (48431385).

Almost surely, 2^1021044864 is an apocalyptic number.

1021044864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1021044864 is an abundant number, since it is smaller than the sum of its proper divisors (2078563776).

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

1021044864 is an equidigital number, since it uses as much as digits as its factorization.

1021044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379877 (or 379865 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1021044864 is about 31953.7926387463. The cubic root of 1021044864 is about 1006.9663124667.

The spelling of 1021044864 in words is "one billion, twenty-one million, forty-four thousand, eight hundred sixty-four".