998956800 has 540 divisors, whose sum is σ = 3864190176. Its totient is φ = 254361600.

The previous prime is 998956729. The next prime is 998956807. The reversal of 998956800 is 8659899.

998956800 = 162³ + 163³ + ... + 261³.

998956800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998956807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21254377 + ... + 21254423.

Almost surely, 2^998956800 is an apocalyptic number.

998956800 is a gapful number since it is divisible by the number (90) 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 998956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932095088).

998956800 is an abundant number, since it is smaller than the sum of its proper divisors (2865233376).

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

998956800 is a wasteful number, since it uses less digits than its factorization.

998956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 998956800 is about 31606.2778574131. The cubic root of 998956800 is about 999.6521456781.

The spelling of 998956800 in words is "nine hundred ninety-eight million, nine hundred fifty-six thousand, eight hundred".