989107200 has 462 divisors, whose sum is σ = 3745359054. Its totient is φ = 258785280.

The previous prime is 989107183. The next prime is 989107201. The reversal of 989107200 is 2701989.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 126157824 + 862949376 = 11232^2 + 29376^2 .

It is a super-3 number, since 3×989107200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989107201) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662374 + ... + 18662426.

Almost surely, 2^989107200 is an apocalyptic number.

989107200 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 989107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872679527).

989107200 is an abundant number, since it is smaller than the sum of its proper divisors (2756251854).

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

989107200 is an equidigital number, since it uses as much as digits as its factorization.

989107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 989107200 is about 31450.0747216918. The cubic root of 989107200 is about 996.3558026240.

The spelling of 989107200 in words is "nine hundred eighty-nine million, one hundred seven thousand, two hundred".