1035541600 has 72 divisors (see below), whose sum is σ = 2581897248. Its totient is φ = 405388800.

The previous prime is 1035541589. The next prime is 1035541601. The reversal of 1035541600 is 61455301.

1035541600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035541600³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035541601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23830 + ... + 51370.

It is an arithmetic number, because the mean of its divisors is an integer number (35859684).

Almost surely, 2^1035541600 is an apocalyptic number.

1035541600 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 1035541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290948624).

1035541600 is an abundant number, since it is smaller than the sum of its proper divisors (1546355648).

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

1035541600 is a wasteful number, since it uses less digits than its factorization.

1035541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27608 (or 27595 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1035541600 is about 32179.8321934717. The cubic root of 1035541600 is about 1011.7095512304.

Adding to 1035541600 its reverse (61455301), we get a palindrome (1096996901).

The spelling of 1035541600 in words is "one billion, thirty-five million, five hundred forty-one thousand, six hundred".