998766720 has 512 divisors, whose sum is σ = 4230144000. Its totient is φ = 217755648.

The previous prime is 998766653. The next prime is 998766721. The reversal of 998766720 is 27667899.

998766720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (998766721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781901 + ... + 2782259.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^998766720 is an apocalyptic number.

998766720 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 998766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

998766720 is an abundant number, since it is smaller than the sum of its proper divisors (3231377280).

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

998766720 is a wasteful number, since it uses less digits than its factorization.

998766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 998766720 is about 31603.2707168103. The cubic root of 998766720 is about 999.5887375531.

The spelling of 998766720 in words is "nine hundred ninety-eight million, seven hundred sixty-six thousand, seven hundred twenty".