1022140800 has 144 divisors (see below), whose sum is σ = 3647335380. Its totient is φ = 272563200.

The previous prime is 1022140787. The next prime is 1022140837. The reversal of 1022140800 is 80412201.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11055 + ... + 46545.

Almost surely, 2^1022140800 is an apocalyptic number.

1022140800 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 1022140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823667690).

1022140800 is an abundant number, since it is smaller than the sum of its proper divisors (2625194580).

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

1022140800 is a wasteful number, since it uses less digits than its factorization.

1022140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35521 (or 35501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1022140800 is about 31970.9368020394. The cubic root of 1022140800 is about 1007.3264585839.

The spelling of 1022140800 in words is "one billion, twenty-two million, one hundred forty thousand, eight hundred".