1020347600 has 60 divisors (see below), whose sum is σ = 2535944460. Its totient is φ = 394060800.

The previous prime is 1020347567. The next prime is 1020347611. The reversal of 1020347600 is 67430201.

It can be written as a sum of positive squares in 6 ways, for example, as 215150224 + 805197376 = 14668^2 + 28376^2 .

It is a super-2 number, since 2×1020347600² = 2082218449651520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32381 + ... + 55580.

It is an arithmetic number, because the mean of its divisors is an integer number (42265741).

Almost surely, 2^1020347600 is an apocalyptic number.

1020347600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020347600 is an abundant number, since it is smaller than the sum of its proper divisors (1515596860).

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

1020347600 is a wasteful number, since it uses less digits than its factorization.

1020347600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88008 (or 87997 counting only the distinct ones).

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

The square root of 1020347600 is about 31942.8802708835. The cubic root of 1020347600 is about 1006.7370436498.

Adding to 1020347600 its reverse (67430201), we get a palindrome (1087777801).

The spelling of 1020347600 in words is "one billion, twenty million, three hundred forty-seven thousand, six hundred".