1984534800 has 120 divisors (see below), whose sum is σ = 6691788960. Its totient is φ = 501350400.

The previous prime is 1984534789. The next prime is 1984534817. The reversal of 1984534800 is 84354891.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1984534800² = 7876756744822080000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 20721 + ... + 66320.

It is an arithmetic number, because the mean of its divisors is an integer number (55764908).

Almost surely, 2^1984534800 is an apocalyptic number.

1984534800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1984534800 is an abundant number, since it is smaller than the sum of its proper divisors (4707254160).

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

1984534800 is a wasteful number, since it uses less digits than its factorization.

1984534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87081 (or 87070 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1984534800 is about 44548.1178053574. The cubic root of 1984534800 is about 1256.6651547363.

It can be divided in two parts, 19845 and 34800, that added together give a palindrome (54645).

The spelling of 1984534800 in words is "one billion, nine hundred eighty-four million, five hundred thirty-four thousand, eight hundred".