1012385664 has 192 divisors, whose sum is σ = 3201494400. Its totient is φ = 305648640.

The previous prime is 1012385657. The next prime is 1012385753. The reversal of 1012385664 is 4665832101.

It is a happy number.

1012385664 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 (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502419 + ... + 504429.

It is an arithmetic number, because the mean of its divisors is an integer number (16674450).

Almost surely, 2^1012385664 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 1012385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600747200).

1012385664 is an abundant number, since it is smaller than the sum of its proper divisors (2189108736).

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

1012385664 is a wasteful number, since it uses less digits than its factorization.

1012385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1012385664 is about 31818.0084857616. The cubic root of 1012385664 is about 1004.1116260284. Note that the first 3 decimals are identical.

The spelling of 1012385664 in words is "one billion, twelve million, three hundred eighty-five thousand, six hundred sixty-four".