1020347640 has 288 divisors, whose sum is σ = 3713523840. Its totient is φ = 242611200.

The previous prime is 1020347639. The next prime is 1020347651. The reversal of 1020347640 is 467430201.

1020347640 is a `hidden beast` number, since 10 + 2 + 0 + 3 + 4 + 7 + 640 = 666.

1020347640 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020347640² = 2082218612907139200, 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 71 ways as a sum of consecutive naturals, for example, 1885770 + ... + 1886310.

It is an arithmetic number, because the mean of its divisors is an integer number (12894180).

Almost surely, 2^1020347640 is an apocalyptic number.

1020347640 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 1020347640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856761920).

1020347640 is an abundant number, since it is smaller than the sum of its proper divisors (2693176200).

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

1020347640 is a wasteful number, since it uses less digits than its factorization.

1020347640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1020347640 is about 31942.8808970011. The cubic root of 1020347640 is about 1006.7370568052.

Adding to 1020347640 its reverse (467430201), we get a palindrome (1487777841).

The spelling of 1020347640 in words is "one billion, twenty million, three hundred forty-seven thousand, six hundred forty".