1022061600 has 324 divisors, whose sum is σ = 4193907354. Its totient is φ = 233533440.

The previous prime is 1022061559. The next prime is 1022061611. The reversal of 1022061600 is 61602201.

It is a happy number.

1022061600 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 61 + 600 = 666.

1022061600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 541399824 + 480661776 = 23268^2 + 21924^2 .

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 53 ways as a sum of consecutive naturals, for example, 351352 + ... + 354248.

Almost surely, 2^1022061600 is an apocalyptic number.

1022061600 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 1022061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096953677).

1022061600 is an abundant number, since it is smaller than the sum of its proper divisors (3171845754).

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

1022061600 is a wasteful number, since it uses less digits than its factorization.

1022061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1022061600 is about 31969.6981530949. The cubic root of 1022061600 is about 1007.3004405388.

Adding to 1022061600 its reverse (61602201), we get a palindrome (1083663801).

The spelling of 1022061600 in words is "one billion, twenty-two million, sixty-one thousand, six hundred".