1998567072 has 144 divisors (see below), whose sum is σ = 5900102208. Its totient is φ = 641249280.

The previous prime is 1998567071. The next prime is 1998567091. The reversal of 1998567072 is 2707658991.

1998567072 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 567 + 0 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1998567071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878128 + ... + 880400.

It is an arithmetic number, because the mean of its divisors is an integer number (40972932).

Almost surely, 2^1998567072 is an apocalyptic number.

1998567072 is a gapful number since it is divisible by the number (12) 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 1998567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950051104).

1998567072 is an abundant number, since it is smaller than the sum of its proper divisors (3901535136).

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

1998567072 is a wasteful number, since it uses less digits than its factorization.

1998567072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1998567072 is about 44705.3360573433. The cubic root of 1998567072 is about 1259.6200819808.

The spelling of 1998567072 in words is "one billion, nine hundred ninety-eight million, five hundred sixty-seven thousand, seventy-two".