1013006720 has 128 divisors (see below), whose sum is σ = 2713975200. Its totient is φ = 358318080.

The previous prime is 1013006719. The next prime is 1013006723. The reversal of 1013006720 is 276003101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1013006720² = 2052365229530316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1013006692 and 1013006701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013006723) 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, 258536 + ... + 262424.

Almost surely, 2^1013006720 is an apocalyptic number.

1013006720 is a gapful number since it is divisible by the number (10) 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 1013006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356987600).

1013006720 is an abundant number, since it is smaller than the sum of its proper divisors (1700968480).

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

1013006720 is a wasteful number, since it uses less digits than its factorization.

1013006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1013006720 is about 31827.7664940536. The cubic root of 1013006720 is about 1004.3169107982.

Adding to 1013006720 its reverse (276003101), we get a palindrome (1289009821).

The spelling of 1013006720 in words is "one billion, thirteen million, six thousand, seven hundred twenty".