1020536400 has 120 divisors (see below), whose sum is σ = 3520642720. Its totient is φ = 251205120.

The previous prime is 1020536383. The next prime is 1020536437. The reversal of 1020536400 is 46350201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 17110 + ... + 48309.

Almost surely, 2^1020536400 is an apocalyptic number.

1020536400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020536400 is an abundant number, since it is smaller than the sum of its proper divisors (2500106320).

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

1020536400 is a wasteful number, since it uses less digits than its factorization.

1020536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65453 (or 65442 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1020536400 is about 31945.8354093300. The cubic root of 1020536400 is about 1006.7991336773.

Adding to 1020536400 its reverse (46350201), we get a palindrome (1066886601).

The spelling of 1020536400 in words is "one billion, twenty million, five hundred thirty-six thousand, four hundred".