1013344992 has 252 divisors, whose sum is σ = 3296968920. Its totient is φ = 306218880.

The previous prime is 1013344979. The next prime is 1013345029. The reversal of 1013344992 is 2994433101.

1013344992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013344992² = 2053736145622960128, which contains 22 as substring.

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 41 ways as a sum of consecutive naturals, for example, 2822509 + ... + 2822867.

It is an arithmetic number, because the mean of its divisors is an integer number (13083210).

Almost surely, 2^1013344992 is an apocalyptic number.

1013344992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648484460).

1013344992 is an abundant number, since it is smaller than the sum of its proper divisors (2283623928).

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

1013344992 is an equidigital number, since it uses as much as digits as its factorization.

1013344992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1013344992 is about 31833.0801525708. The cubic root of 1013344992 is about 1004.4286884317.

The spelling of 1013344992 in words is "one billion, thirteen million, three hundred forty-four thousand, nine hundred ninety-two".