1026146300 has 72 divisors (see below), whose sum is σ = 2394013440. Its totient is φ = 380548800.

The previous prime is 1026146279. The next prime is 1026146369. The reversal of 1026146300 is 36416201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83555 + ... + 95045.

Almost surely, 2^1026146300 is an apocalyptic number.

1026146300 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 1026146300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197006720).

1026146300 is an abundant number, since it is smaller than the sum of its proper divisors (1367867140).

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

1026146300 is a wasteful number, since it uses less digits than its factorization.

1026146300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11571 (or 11564 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1026146300 is about 32033.5183830937. The cubic root of 1026146300 is about 1008.6405590402.

The spelling of 1026146300 in words is "one billion, twenty-six million, one hundred forty-six thousand, three hundred".