1998167040 has 264 divisors, whose sum is σ = 7007421408. Its totient is φ = 526417920.

The previous prime is 1998167011. The next prime is 1998167047. The reversal of 1998167040 is 407618991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998167047) by changing a digit.

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, 4746030 + ... + 4746450.

Almost surely, 2^1998167040 is an apocalyptic number.

1998167040 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 1998167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503710704).

1998167040 is an abundant number, since it is smaller than the sum of its proper divisors (5009254368).

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

1998167040 is a wasteful number, since it uses less digits than its factorization.

1998167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1998167040 is about 44700.8617366601. The cubic root of 1998167040 is about 1259.5360347701.

The spelling of 1998167040 in words is "one billion, nine hundred ninety-eight million, one hundred sixty-seven thousand, forty".