1026936900 has 288 divisors, whose sum is σ = 3659765760. Its totient is φ = 244944000.

The previous prime is 1026936863. The next prime is 1026936923. The reversal of 1026936900 is 96396201.

It is a super-2 number, since 2×1026936900² = 2109198793163220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2108457 + ... + 2108943.

It is an arithmetic number, because the mean of its divisors is an integer number (12707520).

Almost surely, 2^1026936900 is an apocalyptic number.

1026936900 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 1026936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829882880).

1026936900 is an abundant number, since it is smaller than the sum of its proper divisors (2632828860).

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

1026936900 is a wasteful number, since it uses less digits than its factorization.

1026936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1026936900 is about 32045.8562063803. The cubic root of 1026936900 is about 1008.8995300786.

The spelling of 1026936900 in words is "one billion, twenty-six million, nine hundred thirty-six thousand, nine hundred".