1006730420 has 48 divisors (see below), whose sum is σ = 2137438800. Its totient is φ = 398278656.

The previous prime is 1006730419. The next prime is 1006730443. The reversal of 1006730420 is 240376001.

It can be written as a sum of positive squares in 8 ways, for example, as 20016676 + 986713744 = 4474^2 + 31412^2 .

It is a super-2 number, since 2×1006730420² = 2027012277106752800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872564 + ... + 873716.

It is an arithmetic number, because the mean of its divisors is an integer number (44529975).

Almost surely, 2^1006730420 is an apocalyptic number.

1006730420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006730420 is an abundant number, since it is smaller than the sum of its proper divisors (1130708380).

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

1006730420 is a wasteful number, since it uses less digits than its factorization.

1006730420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 1006730420 is about 31729.0154275231. The cubic root of 1006730420 is about 1002.2384588964.

The spelling of 1006730420 in words is "one billion, six million, seven hundred thirty thousand, four hundred twenty".