1005606720 has 168 divisors, whose sum is σ = 3552727464. Its totient is φ = 260886528.

The previous prime is 1005606703. The next prime is 1005606727. The reversal of 1005606720 is 276065001.

1005606720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 306110016 + 699496704 = 17496^2 + 26448^2 .

It is a super-2 number, since 2×1005606720² = 2022489750618316800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005606727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101842 + ... + 111278.

Almost surely, 2^1005606720 is an apocalyptic number.

1005606720 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 1005606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776363732).

1005606720 is an abundant number, since it is smaller than the sum of its proper divisors (2547120744).

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

1005606720 is a wasteful number, since it uses less digits than its factorization.

1005606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1005606720 is about 31711.3027168548. The cubic root of 1005606720 is about 1001.8654246936.

The spelling of 1005606720 in words is "one billion, five million, six hundred six thousand, seven hundred twenty".