1026043200 has 1008 divisors, whose sum is σ = 4815108480. Its totient is φ = 209018880.

The previous prime is 1026043169. The next prime is 1026043243. The reversal of 1026043200 is 23406201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35380786 + ... + 35380814.

Almost surely, 2^1026043200 is an apocalyptic number.

1026043200 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 1026043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407554240).

1026043200 is an abundant number, since it is smaller than the sum of its proper divisors (3789065280).

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

1026043200 is a wasteful number, since it uses less digits than its factorization.

1026043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1026043200 is about 32031.9090907801. The cubic root of 1026043200 is about 1008.6067775269.

Adding to 1026043200 its reverse (23406201), we get a palindrome (1049449401).

The spelling of 1026043200 in words is "one billion, twenty-six million, forty-three thousand, two hundred".