1022080900 has 81 divisors (see below), whose sum is σ = 2335339461. Its totient is φ = 388243680.

The previous prime is 1022080853. The next prime is 1022080909. The reversal of 1022080900 is 90802201.

The square root of 1022080900 is 31970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 367949124 + 654131776 = 19182^2 + 25576^2 .

It is a super-2 number, since 2×1022080900² = 2089298732289620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022080909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7353031 + ... + 7353169.

Almost surely, 2^1022080900 is an apocalyptic number.

1022080900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022080900 is the 31970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022080900

1022080900 is an abundant number, since it is smaller than the sum of its proper divisors (1313258561).

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

1022080900 is a wasteful number, since it uses less digits than its factorization.

1022080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The cubic root of 1022080900 is about 1007.3067809186.

The spelling of 1022080900 in words is "one billion, twenty-two million, eighty thousand, nine hundred".