1012656384 has 144 divisors (see below), whose sum is σ = 3012038400. Its totient is φ = 335591424.

The previous prime is 1012656383. The next prime is 1012656389. The reversal of 1012656384 is 4836562101.

It is a happy number.

1012656384 is a `hidden beast` number, since 1 + 0 + 12 + 6 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1012656383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651662 + ... + 1652274.

Almost surely, 2^1012656384 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 1012656384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506019200).

1012656384 is an abundant number, since it is smaller than the sum of its proper divisors (1999382016).

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

1012656384 is an equidigital number, since it uses as much as digits as its factorization.

1012656384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 857 counting only the distinct ones).

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

The square root of 1012656384 is about 31822.2623960020. The cubic root of 1012656384 is about 1004.2011205371.

The spelling of 1012656384 in words is "one billion, twelve million, six hundred fifty-six thousand, three hundred eighty-four".