1012564344 has 128 divisors (see below), whose sum is σ = 2846638080. Its totient is φ = 297494400.

The previous prime is 1012564339. The next prime is 1012564349. The reversal of 1012564344 is 4434652101.

It is an interprime number because it is at equal distance from previous prime (1012564339) and next prime (1012564349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012564349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167999 + ... + 2168465.

It is an arithmetic number, because the mean of its divisors is an integer number (22239360).

Almost surely, 2^1012564344 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 1012564344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423319040).

1012564344 is an abundant number, since it is smaller than the sum of its proper divisors (1834073736).

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

1012564344 is a wasteful number, since it uses less digits than its factorization.

1012564344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1012564344 is about 31820.8162057481. The cubic root of 1012564344 is about 1004.1706957807.

The spelling of 1012564344 in words is "one billion, twelve million, five hundred sixty-four thousand, three hundred forty-four".