989074800 has 600 divisors, whose sum is σ = 4186116000. Its totient is φ = 223534080.

The previous prime is 989074769. The next prime is 989074831. The reversal of 989074800 is 8470989.

989074800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (989074769) and next prime (989074831).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11113156 + ... + 11113244.

It is an arithmetic number, because the mean of its divisors is an integer number (6976860).

Almost surely, 2^989074800 is an apocalyptic number.

989074800 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 989074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093058000).

989074800 is an abundant number, since it is smaller than the sum of its proper divisors (3197041200).

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

989074800 is a wasteful number, since it uses less digits than its factorization.

989074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 989074800 is about 31449.5596153587. The cubic root of 989074800 is about 996.3449233582.

The spelling of 989074800 in words is "nine hundred eighty-nine million, seventy-four thousand, eight hundred".