1005736720 has 80 divisors (see below), whose sum is σ = 2423987712. Its totient is φ = 387671040.

The previous prime is 1005736687. The next prime is 1005736723. The reversal of 1005736720 is 276375001.

1005736720 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (1005736723) 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, 701124 + ... + 702556.

Almost surely, 2^1005736720 is an apocalyptic number.

1005736720 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 1005736720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211993856).

1005736720 is an abundant number, since it is smaller than the sum of its proper divisors (1418250992).

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

1005736720 is a wasteful number, since it uses less digits than its factorization.

1005736720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 1005736720 is about 31713.3523929590. The cubic root of 1005736720 is about 1001.9085949478.

The spelling of 1005736720 in words is "one billion, five million, seven hundred thirty-six thousand, seven hundred twenty".