1026685800 has 384 divisors, whose sum is σ = 4090809600. Its totient is φ = 231828480.

The previous prime is 1026685789. The next prime is 1026685801. The reversal of 1026685800 is 85866201.

It is a happy number.

1026685800 is a `hidden beast` number, since 10 + 2 + 6 + 68 + 580 + 0 = 666.

It is a super-4 number, since 4×1026685800⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1026685801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5934514 + ... + 5934686.

It is an arithmetic number, because the mean of its divisors is an integer number (10653150).

Almost surely, 2^1026685800 is an apocalyptic number.

1026685800 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 1026685800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045404800).

1026685800 is an abundant number, since it is smaller than the sum of its proper divisors (3064123800).

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

1026685800 is a wasteful number, since it uses less digits than its factorization.

1026685800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1026685800 is about 32041.9381436267. The cubic root of 1026685800 is about 1008.8172935028.

The spelling of 1026685800 in words is "one billion, twenty-six million, six hundred eighty-five thousand, eight hundred".