1026533200 has 120 divisors (see below), whose sum is σ = 3074892480. Its totient is φ = 319948800.

The previous prime is 1026533173. The next prime is 1026533231. The reversal of 1026533200 is 23356201.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 14136 + ... + 47464.

It is an arithmetic number, because the mean of its divisors is an integer number (25624104).

Almost surely, 2^1026533200 is an apocalyptic number.

1026533200 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 1026533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537446240).

1026533200 is an abundant number, since it is smaller than the sum of its proper divisors (2048359280).

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

1026533200 is a wasteful number, since it uses less digits than its factorization.

1026533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33365 (or 33354 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1026533200 is about 32039.5568009297. The cubic root of 1026533200 is about 1008.7673096464.

Adding to 1026533200 its reverse (23356201), we get a palindrome (1049889401).

The spelling of 1026533200 in words is "one billion, twenty-six million, five hundred thirty-three thousand, two hundred".