1035200540 has 48 divisors (see below), whose sum is σ = 2384744544. Its totient is φ = 374342400.

The previous prime is 1035200539. The next prime is 1035200557. The reversal of 1035200540 is 450025301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26822 + ... + 52818.

It is an arithmetic number, because the mean of its divisors is an integer number (49682178).

Almost surely, 2^1035200540 is an apocalyptic number.

1035200540 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 1035200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192372272).

1035200540 is an abundant number, since it is smaller than the sum of its proper divisors (1349544004).

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

1035200540 is a wasteful number, since it uses less digits than its factorization.

1035200540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26198 (or 26196 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1035200540 is about 32174.5324752358. The cubic root of 1035200540 is about 1011.5984687630.

Adding to 1035200540 its reverse (450025301), we get a palindrome (1485225841).

The spelling of 1035200540 in words is "one billion, thirty-five million, two hundred thousand, five hundred forty".